Этот сайт использует файлы cookies. Продолжая просмотр страниц сайта, вы соглашаетесь с использованием файлов cookies. Если вам нужна дополнительная информация, пожалуйста, посетите страницу Политика файлов Cookie
Subscribe
Прямой эфир
Русский Русский  English English
Войти / Регистрация
Cryptocurrencies: 9528 / Markets: 108988
Market Cap: $ 3 870 959 215 369 / 24h Vol: $ 111 742 351 010 / BTC Dominance: 57.674375300024%

Н Новости

  1. Главная
  2. Новости

[Перевод] Как работают трансформеры: разбираем математику

fc1a4c81f273b8ed87c1861e5aa8c210.png

В этом посте я представлю подробный пример математики, используемой внутри модели трансформера, чтобы вы получили хорошее представление о работе модели. Чтобы пост был понятным, я многое упрощу. Мы будем выполнять довольно много вычислений вручную, поэтому снизим размерность модели. Например, вместо эмбеддингов из 512 значений мы используем эмбеддинги из 4 значений. Это позволит упростить понимание вычислений. Мы используем произвольные векторы и матрицы, но при желании вы можете выбрать собственные значения.

Как вы увидите, математика модели не так уж сложна. Сложность возникает из-за количества этапов и количества параметров. Перед прочтением этой статьи я рекомендую прочитать пост Illustrated Transformer (или читать их параллельно) [перевод на Хабре]. Это отличный пост, объясняющий модель трансформера интуитивным (и наглядным!) образом, поэтому я не буду объяснять то, что уже объяснено в нём. Моя цель заключается в том, чтобы объяснить, как работает модель трансформера, а не что это такое. Если вы хотите углубиться в подробности, то изучите известную статью Attention is all you need [перевод на Хабре: первая и вторая части].

Обязательные требования

Для понимания статьи необходимы базовые знания линейной алгебры; в основном мы будем выполнять простые матричные умножения, так что специалистом быть необязательно. Кроме того, будут полезны знания основ машинного обучения и глубокого обучения.

Что рассматривается в статье?

  • Полный пример математических вычислений, происходящих в модели трансформера в процессе инференса

  • Объяснение механизмов внимания

  • Объяснение остаточных связей и нормализации слоёв

  • Код для масштабирования модели

Наша цель будет заключаться в использовании модели трансформера в качестве инструмента для перевода, чтобы мы могли передать модели входные данные и ожидать от неё генерации перевода. Например, мы можем передать «Hello World» на английском и ожидать на выходе получить «Hola Mundo» на испанском.

Давайте взглянем на пугающую диаграмму трансформера (не бойтесь, скоро вы её поймёте!):

Модель трансформера из статьи «Attention is all you need»
Модель трансформера из статьи «Attention is all you need»

Исходная модель трансформера состоит из двух частей: кодировщика (encoder) и декодера (decoder). Кодировщик занимается «пониманием» или «осознанием смысла» входного текста, а декодер выполняет генерацию выходного текста. Давайте рассмотрим кодировщик.

Кодировщик

Цель работы кодировщика заключается в генерации обогащённого эмбеддингами описания входного текста. Этот эмбеддинг отражает семантическую информацию о входном тексте и передаётся декодеру для генерации выходного текста. Кодировщик состоит из стека из N слоёв. Прежде чем переходить к слоям, нужно разобраться, как передавать слова (или токены) в модель.

Примечание

Термин «эмбеддинг» используется слишком часто. Сначала мы создадим эмбеддинг, который будет входными данными для кодировщика. Кодировщик тоже создаёт на выходе эмбеддинг (иногда называемый hidden states). Декодер тоже получает эмбеддинг! Весь смысл в том, что эмбеддинг описывает токен в виде вектора.

0. Токенизация

Модели машинного обучения могут обрабатывать числа, а не текст, так что нам нужно превратить входной текст в числа. Именно это и выполняет токенизация! Это процесс разбиения входного текста на токены, с каждым из которых связан ID. Например, мы можем разделить текст «Hello World» на два токена: «Hello» и «World». Также мы можем разбить его на символы: «H», «e», «l», «l», «o», « »,«W», «o», «r», «l», «d». Мы сами можем выбирать принцип токенизации, он зависит от данных, с которыми мы работаем.

Для токенизации по словам (разбиения текста на слова) требуется очень большой словарь (всех возможных токенов). В нём слова наподобие «dog» и «dogs» или «run» и «running» будут разными токенами. Словарь символов потребует меньшего объёма, но будет обладать меньшим смыслом (он может быть полезен в языках наподобие китайского, где каждый символ содержит больше информации).

Прогресс двинулся в сторону токенизации по подсловам. Это нечто среднее между токенизацией по словам и по символам. Мы разделяем слова на подслова. Например, слово «tokenization» можно разбить на «token» и «ization». Как принимается решение о месте разбиения слов? Это часть обучения токенизатора при помощи статистического процесса, задача которого заключается в выявлении подслов, которые лучше всего выбрать для конкретного датасета. Это детерминированный процесс (в отличие от обучения модели машинного обучения).

В этой статье я для простоты использую токенизацию по словам. Наша цель будет заключаться в переводе «Hello World» с английского на испанский. Пример «Hello World» мы разобьём на токены «Hello» и «World». Каждому токену присваивается в словаре модели ID. Например, «Hello» может быть токеном 1, а «World» — токеном 2.

1. Эмбеддинг текста

Хотя мы можем передать модели ID токенов (то есть 1 и 2), эти числа не несут никакого смысла. Нужно превратить их в векторы (список чисел). Именно это и выполняет процесс эмбеддинга! Эмбеддинги токена сопоставляют ID токена с вектором фиксированной длины, имеющим семантическое значение токенов. Это создаёт интересные свойства: схожие токены будут иметь схожий эмбеддинг (иными словами, вычисление косинусного коэффициента между двумя эмбеддингами даст нам хорошее понимание степени схожести токенов).

Стоит заметить, что отображение токена в эмбеддинг изучается моделью. Хотя мы можем использовать уже обученный эмбеддинг наподобие word2vec или GloVe, в процессе своего обучения модели трансформеров изучают эти эмбеддинги. Это большое преимущество, поскольку модель может изучить наилучшее описание токенов для поставленной перед ней задачи. Например, модель может научиться тому, что «dog» и «dogs» должны иметь схожие эмбеддинги.

Все эмбеддинги в одной модели имеют одинаковый размер. В трансформере из научной статьи использовался размер 512, но чтобы мы могли выполнять вычисления, снизим его размер до 4. Я назначу каждому токену случайные значения (как говорилось выше, это отображение обычно изучается моделью).

Hello -> [1,2,3,4]

World -> [2,3,4,5]

Примечание

После публикации статьи многие читатели задали вопросы о представленных выше эмбеддингах. Мне было лениво и я просто записал числа, с которыми будет удобно выполнять вычисления. На практике эти числа будут изучаться моделью. Чтобы это было понятнее, я дополнил пост.

Мы можем вычислить схожесть этих векторов при помощи косинусного коэффициента, который для представленных выше векторов будет слишком высоким. На практике вектор, скорее всего, будет выглядеть примерно так: [-0.071, 0.344, -0.12, 0.026, …, -0.008].

Мы можем представить наши входные данные в виде единой матрицы

21ac942d73e513a75f7e6435f4827fca.png

Примечание

Хотя мы и можем обрабатывать два эмбеддинга как два отдельных вектора, проще работать с ними как с единой матрицей, потому что в дальнейшем мы будем выполнять умножение матриц.

2. Позиционное кодирование

Отдельные эмбеддинги в матрице не содержат информации о позиции слов в предложении, так что нам нужна информация о позиции. Её можно создать, добавив к эмбеддингу позиционное кодирование.

Получить его можно различными способами; мы можем использовать изученный эмбеддинг или фиксированный вектор. В исходной научной статье используется фиксированный вектор, потому что авторы не увидели почти никакой разницы между двумя методиками (см. раздел 3.5 статьи). Мы тоже воспользуемся фиксированным вектором. Функции синуса и косинуса имеют волнообразный паттерн и повторяются. Благодаря использованию этих функций каждая позиция в предложении получает уникальное, но согласованное позиционное кодирование. Их повторяемость поможет модели проще изучать паттерны наподобие близости и расстояния между элементами. В статье используются следующие функции:

07739ac8ce5c811f974ff3d5150159cc.png

Смысл заключается в интерполяции между синусом и косинусом для каждого значения в эмбеддинге (для чётных индексов используется синус, для нечётных используется косинус). Давайте вычислим их для нашего примера!

Для «Hello»

  • i = 0 (чётный): PE(0,0) = sin(0 / 10000^(0 / 4)) = sin(0) = 0

  • i = 1 (нечётный): PE(0,1) = cos(0 / 10000^(2*1 / 4)) = cos(0) = 1

  • i = 2 (чётный): PE(0,2) = sin(0 / 10000^(2*2 / 4)) = sin(0) = 0

  • i = 3 (нечётный): PE(0,3) = cos(0 / 10000^(2*3 / 4)) = cos(0) = 1

Для «World»

  • i = 0 (чётный): PE(1,0) = sin(1 / 10000^(0 / 4)) = sin(1 / 10000^0) = sin(1) ≈ 0.84

  • i = 1 (нечётный): PE(1,1) = cos(1 / 10000^(2*1 / 4)) = cos(1 / 10000^0.5) ≈ cos(0.01) ≈ 0.99

  • i = 2 (чётный): PE(1,2) = sin(1 / 10000^(2*2 / 4)) = sin(1 / 10000^1) ≈ 0

  • i = 3 (нечётный): PE(1,3) = cos(1 / 10000^(2*3 / 4)) = cos(1 / 10000^1.5) ≈ 1

В итоге получаем следующее:

  • «Hello» -> [0, 1, 0, 1]

  • «World» -> [0.84, 0.99, 0, 1]

Обратите внимание, что эти кодировки имеют ту же размерность, что и исходный эмбеддинг.

Примечание

Мы используем синус и косинус, как и в исходной научной статье, но есть и другие способы реализации. В очень популярном трансформере BERT применяются обучаемые позиционные эмбеддинги.

3. Добавляем позиционное кодирование и эмбеддинг

Теперь мы добавим к эмбеддингу позиционное кодирование. Это выполняется сложением двух векторов.

«Hello» = [1,2,3,4] + [0, 1, 0, 1] = [1, 3, 3, 5]

«World» = [2,3,4,5] + [0.84, 0.99, 0, 1] = [2.84, 3.99, 4, 6]

То есть наша новая матрица, которая будет входными данными для кодировщика, выглядит так:

b3c1f5027a551dfb3e3e73cc91d26fa3.png

Если посмотреть на изображение из научной статьи, то можно увидеть, что мы только что выполнили левую нижнюю часть изображения (эмбеддинг + позиционное кодирование).

Модель трансформера из статьи «Attention is all you need»
Модель трансформера из статьи «Attention is all you need»

4. Самовнимание

4.1 Определение матриц

Теперь мы введём концепцию многоголового внимания (multi-head attention). Внимание — это механизм, позволяющий модели сосредоточиться на определённых частях входных данных. Многоголовое внимание позволяет модели совместно уделять внимание информации из различных подпространств описаний. Для этого используются множественные головы внимания. Каждая голова внимания имеет собственные матрицы K, V и Q.

Давайте в нашем примере используем две головы внимания. Для этих матриц мы применим случайные значения. Каждая матрица будет иметь размер 4x3. Благодаря этому каждая матрица будет преобразовывать четырёхмерные эмбеддинги в трёхмерные ключи (K), значения (V) и запросы (Q). Это снижает размерность механизма внимания, что помогает управлять вычислительной сложностью. Стоит отметить, что использование слишком малого размера внимания уменьшит точность модели. Давайте используем следующие значения (выбраны произвольно):

Для первой головы

6d6536a6f378872e5551e5ae957dbdf9.png

Для второй головы

ae855c0cdc319b6b83cbfe04f7b10b73.png

4.2 Вычисление ключей, запросов и значений

Для получения ключей, запросов и значений нужно умножить входные эмбеддинги на матрицы весов.

Вычисление ключей

b022aa1304298a0573f65941cb2d6acf.png

На самом деле, нам не нужно вычислять всё это вручную, это будет слишком монотонно. Давайте схитрим и воспользуемся NumPy.

Сначала определим матрицы

import numpy as np

WK1 = np.array([[1, 0, 1], [0, 1, 0], [1, 0, 1], [0, 1, 0]])
WV1 = np.array([[0, 1, 1], [1, 0, 0], [1, 0, 1], [0, 1, 0]])
WQ1 = np.array([[0, 0, 0], [1, 1, 0], [0, 0, 1], [1, 0, 0]])

WK2 = np.array([[0, 1, 1], [1, 0, 1], [1, 1, 0], [0, 1, 0]])
WV2 = np.array([[1, 0, 0], [0, 1, 1], [0, 0, 1], [1, 0, 0]])
WQ2 = np.array([[1, 0, 1], [0, 1, 0], [1, 0, 0], [0, 1, 1]])

И убедимся, что в приведённых выше вычислениях нет никаких ошибок.

embedding = np.array([[1, 3, 3, 5], [2.84, 3.99, 4, 6]])
K1 = embedding @ WK1
K1
array([[4.  , 8.  , 4.  ],
       [6.84, 9.99, 6.84]])

Отлично! Теперь давайте получим значения и запросы

Вычисление значений

V1 = embedding @ WV1
V1
array([[6.  , 6.  , 4.  ],
       [7.99, 8.84, 6.84]])

Вычисление запросов

Q1 = embedding @ WQ1
Q1
array([[8.  , 3.  , 3.  ],
       [9.99, 3.99, 4.  ]])

Давайте пока пропустим вторую голову и сосредоточимся на окончательном результате первой головы. Ко второй голове мы вернёмся позже.

4.3 Вычисление внимания

Для вычисления показателя внимания требуется пара шагов:

  1. Вычисление скалярного произведения запроса и каждого ключа

  2. Деление результата на квадратный корень размерности вектора ключа

  3. Применение функции softmax для получения весов внимания

  4. Умножение каждого вектора значения на веса внимания

4.3.1 Скалярное произведение запроса и каждого ключа

Для вычисления результата для «Hello» необходимо вычислить скалярное произведение q1 и каждого вектора ключа (k1 и k2)

9d2504e2828fd8ea6d6c94e98d42be9a.png

В мире матриц это будет равно Q1, умноженному на перестановку K1

6e4a5525d96bde952b7b76024dc842d5.png

Я могу сделать ошибку, так что давайте проверим всё это ещё раз с помощью Python

scores1 = Q1 @ K1.T
scores1
array([[ 68.    , 105.21  ],
       [ 87.88  , 135.5517]])

4.3.2 Деление на квадратный корень размерности вектора ключа

Затем мы делим показатели на квадратный корень размерности (d) ключей (в данном случае это 3, но в научной статье она была равна 64). Почему? При больших значениях d скалярное произведение растёт слишком быстро (ведь мы складываем умножение кучи чисел, что приводит к большим значениям). А большие значения — это плохо! Подробнее мы поговорим об этом чуть позже.

scores1 = scores1 / np.sqrt(3)
scores1
array([[39.2598183 , 60.74302182],
       [50.73754166, 78.26081048]])

4.3.3 Применение функции softmax

Далее используем softmax для нормализации, чтобы все они были положительны и в сумме равнялись 1.

Что такое softmax?

Softmax — это функция, получающая вектор значений и возвращающая вектор значений между 0 и 1, в котором сумма значений равна 1. Это удобный способ получения вероятностей. Функция определяется следующим образом:

e7a48588f466c4234929d03def3500f0.png

Не пугайтесь этой формулы, на самом деле она довольно проста. Допустим, у нас есть следующий вектор:

c750d84109caee4305daf1dfafe58f80.png

Softmax этого вектора будет такой:

c6c21d57fe4f33b902add6e0b6bed43f.png

Как видите, все значения положительны и в сумме дают 1.

def softmax(x):
    return np.exp(x) / np.sum(np.exp(x), axis=1, keepdims=True)


scores1 = softmax(scores1)
scores1
array([[4.67695573e-10, 1.00000000e+00],
       [1.11377182e-12, 1.00000000e+00]])

4.3.4 Умножение матрицы значений на веса внимания

Далее мы умножаем на матрицу значений

attention1 = scores1 @ V1
attention1
array([[7.99, 8.84, 6.84],
       [7.99, 8.84, 6.84]])

Давайте объединим 4.3.1, 4.3.2, 4.3.3 и 4.3.4 в одну формулу с использованием матриц (это из раздела 3.2.1 научной статьи):

a02751d90c6c85873ce9b30671a9496a.png

Да, вот и всё! Все проделанные нами вычисления можно легко свести к показанной выше формуле внимания! Давайте перенесём это в код.

def attention(x, WQ, WK, WV):
    K = x @ WK
    V = x @ WV
    Q = x @ WQ

    scores = Q @ K.T
    scores = scores / np.sqrt(3)
    scores = softmax(scores)
    scores = scores @ V
    return scores
attention(embedding, WQ1, WK1, WV1)
array([[7.99, 8.84, 6.84],
       [7.99, 8.84, 6.84]])

Мы убедились, что значения те же, что и получены выше. Давайте воспользуемся этим кодом для получения показателей внимания второй головы внимания:

attention2 = attention(embedding, WQ2, WK2, WV2)
attention2
array([[8.84, 3.99, 7.99],
       [8.84, 3.99, 7.99]])

Если вас интересует, как внимание стало одинаковым для двух эмбеддингов, то это вызвано тем, что softmax переводит показатели в 0 и 1. Смотрите:

softmax(((embedding @ WQ2) @ (embedding @ WK2).T) / np.sqrt(3))
array([[1.10613872e-14, 1.00000000e+00],
       [4.95934510e-20, 1.00000000e+00]])

Это вызвано плохой инициализацией матриц и маленьким размерам векторов. Большие различиях в показателях до применения softmax будут лишь усилены, приводя к том, что одно значение будет близко к 1, а другие к 0. На практике наши исходные значения матрицы эмбеддингов были слишком велики, что привело к высоким значениям для ключей, значений и запросов, которые при умножении становились только выше.

Помните, как мы выполняли деление на квадратный корень размерности ключей? Именно поэтому мы это и делали, в противном случае значения скалярного произведения были бы слишком большими, из-за чего получились бы большие значения после softmax. Однако в данном случае, похоже, этого не было достаточно, учитывая наши небольшие значения! В качестве быстрого хака мы можем уменьшить масштаб значений на меньшее значение, чем квадратный корень трёх. Давайте переопределим функцию внимания, уменьшив масштаб на 30. В долгой перспективе это плохое решение, но оно поможет нам получить разные значения для показателей внимания. Позже мы вернёмся к более качественному решению.

def attention(x, WQ, WK, WV):
    K = x @ WK
    V = x @ WV
    Q = x @ WQ

    scores = Q @ K.T
    scores = scores / 30  # we just changed this
    scores = softmax(scores)
    scores = scores @ V
    return scores
attention1 = attention(embedding, WQ1, WK1, WV1)
attention1
array([[7.54348784, 8.20276657, 6.20276657],
       [7.65266185, 8.35857269, 6.35857269]])
attention2 = attention(embedding, WQ2, WK2, WV2)
attention2
array([[8.45589591, 3.85610456, 7.72085664],
       [8.63740591, 3.91937741, 7.84804146]])

4.3.5 Выходные значения внимания голов

Следующий слой кодировщика ожидает на входе одну матрицу, а не две. Первым этапом будет конкатенация выходных значений двух голов (см. раздел 3.2.2 научной статьи)

attentions = np.concatenate([attention1, attention2], axis=1)
attentions
array([[7.54348784, 8.20276657, 6.20276657, 8.45589591, 3.85610456,
        7.72085664],
       [7.65266185, 8.35857269, 6.35857269, 8.63740591, 3.91937741,
        7.84804146]])

Затем мы умножаем эту конкатенированную матрицу на матрицу весов, чтобы получить окончательный результат слоя внимания. Этой матрице весов модель тоже обучается! Размерность матрицы гарантирует, что мы вернёмся к той же размерности, что была у эмбеддинга (в нашем случае 4).

# Просто произвольные значения
W = np.array(
    [
        [0.79445237, 0.1081456, 0.27411536, 0.78394531],
        [0.29081936, -0.36187258, -0.32312791, -0.48530339],
        [-0.36702934, -0.76471963, -0.88058366, -1.73713022],
        [-0.02305587, -0.64315981, -0.68306653, -1.25393866],
        [0.29077448, -0.04121674, 0.01509932, 0.13149906],
        [0.57451867, -0.08895355, 0.02190485, 0.24535932],
    ]
)
Z = attentions @ W
Z
array([[ 11.46394285, -13.18016471, -11.59340253, -17.04387829],
       [ 11.62608573, -13.47454936, -11.87126395, -17.4926367 ]])

Всё это можно объединить в изображение из The Ilustrated Transformer

Attention
Attention

5. Слой с прямой связью

5.1 Простой слой с прямой связью

После слоя самовнимания у кодировщика идёт нейронная сеть с прямой связью (feed-forward neural network, FFN). Это простая сеть с двумя линейными преобразованиями и активацией ReLU между ними. В посте The Illustrated Transformer подробностей об этом нет, так что я вкратце объясню этот слой. Цель FFN заключается в обработке и трансформировании описания, созданного механизмом внимания. Поток обычно выглядит так (см. раздел 3.3 научной статьи):

  1. Первый линейный слой: обычно он расширяет размерность входных данных. Например, если размерность входных данных равна 512, то размерность выходных данных может быть равна 2048. Это выполняется для того, чтобы позволить модели изучать более сложные функции. В нашем простом примере с размерностью 4 мы расширимся до 8.

  2. Активация ReLU: нелинейная функция активации. Это простая функция, возвращающая 0, если входные данные отрицательны, и входные данные, если они положительны. Это позволяет модели обучаться нелинейным функциям. Вычисления выглядят так:

262eac2557430f65416a724b1505a335.png

  1. Второй линейный слой: он противоположен первому линейному слою. Этот слой снова возвращает размерность к исходной. В нашем примере он выполнит снижение с 8 до 4.

Всё это можно описать следующим образом

bbc6f12f046194f7a985ee22eeb560c8.png

Напомню, что входными данными для этого слоя является Z, которое мы вычислили в самовнимании. Вот какие значения мы там получили

98bd6018fe81f8a9ce807877020cc5d8.png

Теперь давайте зададим произвольные значения для матриц весов и векторов смещений. Я сделаю это в коде, но если у вас хватит терпения, то можете задать их вручную!

W1 = np.random.randn(4, 8)
W2 = np.random.randn(8, 4)
b1 = np.random.randn(8)
b2 = np.random.randn(4)

А теперь давайте запишем функцию прямого прохода

def relu(x):
    return np.maximum(0, x)

def feed_forward(Z, W1, b1, W2, b2):
    return relu(Z.dot(W1) + b1).dot(W2) + b2
output_encoder = feed_forward(Z, W1, b1, W2, b2)
output_encoder
array([[ -3.24115016,  -9.7901049 , -29.42555675, -19.93135286],
       [ -3.40199463,  -9.87245924, -30.05715408, -20.05271018]])

5.2 Объединяем всё: произвольный кодировщик

Теперь давайте напишем код, чтобы объединить в блоке кодировщика многоголовое внимание и прямую связь.

Примечание

Код оптимизирован для понимания и образовательных целей, а не для производительности, не судите слишком строго!

d_embedding = 4
d_key = d_value = d_query = 3
d_feed_forward = 8
n_attention_heads = 2

def attention(x, WQ, WK, WV):
    K = x @ WK
    V = x @ WV
    Q = x @ WQ

    scores = Q @ K.T
    scores = scores / np.sqrt(d_key)
    scores = softmax(scores)
    scores = scores @ V
    return scores

def multi_head_attention(x, WQs, WKs, WVs):
    attentions = np.concatenate(
        [attention(x, WQ, WK, WV) for WQ, WK, WV in zip(WQs, WKs, WVs)], axis=1
    )
    W = np.random.randn(n_attention_heads * d_value, d_embedding)
    return attentions @ W

def feed_forward(Z, W1, b1, W2, b2):
    return relu(Z.dot(W1) + b1).dot(W2) + b2

def encoder_block(x, WQs, WKs, WVs, W1, b1, W2, b2):
    Z = multi_head_attention(x, WQs, WKs, WVs)
    Z = feed_forward(Z, W1, b1, W2, b2)
    return Z

def random_encoder_block(x):
    WQs = [
        np.random.randn(d_embedding, d_query) for _ in range(n_attention_heads)
    ]
    WKs = [
        np.random.randn(d_embedding, d_key) for _ in range(n_attention_heads)
    ]
    WVs = [
        np.random.randn(d_embedding, d_value) for _ in range(n_attention_heads)
    ]
    W1 = np.random.randn(d_embedding, d_feed_forward)
    b1 = np.random.randn(d_feed_forward)
    W2 = np.random.randn(d_feed_forward, d_embedding)
    b2 = np.random.randn(d_embedding)
    return encoder_block(x, WQs, WKs, WVs, W1, b1, W2, b2)

Вспомним наши входные данные в матрице E, имеющие позиционное кодирование и эмбеддинг.

embedding
array([[1.  , 3.  , 3.  , 5.  ],
       [2.84, 3.99, 4.  , 6.  ]])

Теперь передадим это нашей функции random_encoder_block

random_encoder_block(embedding)
array([[ -71.76537515, -131.43316885,   13.2938131 ,   -4.26831998],
       [ -72.04253781, -131.84091347,   13.3385937 ,   -4.32872015]])

Отлично! Это был всего один блок кодировщика. В научной статье применяются шесть кодировщиков. Выходные данные одного кодировщика передаются на следующий и так далее:

def encoder(x, n=6):
    for _ in range(n):
        x = random_encoder_block(x)
    return x


encoder(embedding)
/tmp/ipykernel_11906/1045810361.py:2: RuntimeWarning: overflow encountered in exp
  return np.exp(x)/np.sum(np.exp(x),axis=1, keepdims=True)
/tmp/ipykernel_11906/1045810361.py:2: RuntimeWarning: invalid value encountered in divide
  return np.exp(x)/np.sum(np.exp(x),axis=1, keepdims=True)
array([[nan, nan, nan, nan],
       [nan, nan, nan, nan]])

5.3 Остаточные связи и нормализация слоёв

Ой-ёй! У нас начали появляться NaN! Похоже, наши значения слишком велики и при передаче следующему кодировщику они оказываются слишком большими и «взрываются»! Эта проблема слишком больших значений часто возникает при обучении моделей. Например, когда мы выполняем обратное распространение ошибки (методику, при помощи которой модели обучаются), градиенты могут оказаться слишком большими и в результате «взрываются»; это называется взрывом градиентов (gradient explosion). Без нормализации небольшие изменения во входных данных на первых слоях в последующих слоях усиливаются. Это распространённая проблема в глубоких нейросетях. Существует два способа борьбы с этой проблемой: остаточные связи и нормализация слоёв (они вкратце упоминаются в разделе 3.1 научной статьи).

  • Остаточные связи просто прибавляют входные данные слоя к его выходным данным. Например, мы складываем исходный эмбеддинг с выходными данными внимания. Остаточные связи устраняют проблему исчезающих градиентов. Логика в том, что если градиент слишком мал, то мы можем просто сложить входные данные к выходным, и градиент станет больше. Вычисления очень просты:

f57ea26cb87a7dc176fe66b656dc2bbb.png

Вот и всё! Мы сделаем это для выходных данных внимания и выходных данных слоя с прямой связью.

  • Нормализация слоя — это методика нормализации входных данных слоя. Она выполняет нормализацию по размерности эмбеддинга. Логика в том, что мы хотим нормализовать входные значения слоя, чтобы они имели среднее значение 0 и квадратическое отклонение 1. Это помогает с градиентным потоком. Вычисления на первый взгляд выглядят не так уж просто.

e86b11dab9af842f994c4919c2e5d7ab.png

Давайте объясним каждый параметр:

  • μ — это среднее значение эмбеддинга

  • σ — это квадратическое отклонение эмбеддинга

  • ε — это малое число, чтобы избежать деления на ноль. В случае нулевого значения квадратичного отклонения этот маленький эпсилон спасает нас.

  • γ и β — это изучаемые параметры, управляющие этапами масштабирования и сдвига.

В отличие от пакетной нормализации (batch normalization, не волнуйтесь, если не знаете, что это такое), нормализация слоёв нормализует по размерности эмбеддинга; это означает, что на каждый эмбеддинг не будут влиять другие сэмплы в пакете. Идея заключается в том, что мы хотим нормализовать входные данные слоя, чтобы они имели среднее значение 0 и квадратичное отклонение 1.

Зачем мы добавляем изучаемые параметры γ и β? Причина в том, что мы не хотим терять силу представления слоя. Если просто нормализовать входные данные, то какая-то информация может потеряться. Добавляя изучаемые параметры, мы можем научиться масштабировать и сдвигать нормализованные значения.

Соединив эти уравнения, мы получим уравнение для всего кодировщика:

a0ac41a886c0c090a94831b723273008.png

Давайте проверим его на нашем примере! Возьмём прежние значения E и Z:

93bf47f27dedfcf295a42d2a389532c0.png

Теперь давайте вычислим нормализацию слоя; можно разделить этот процесс на три этапа:

  1. Вычисление среднего и дисперсии для каждого эмбеддинга.

  2. Нормализация вычитанием среднего в своей строке и делением на квадратный корень дисперсии строки (плюс малое число, чтобы избежать деления на ноль).

  3. Масштабирование и сдвиг умножением на гамму и прибавлением беты.

5.3.1 Среднее и дисперсия

Для первого эмбеддинга

7612e4d1500e7da378314073941be8ec.png

То же самое можно сделать для второго эмбеддинга. Пропустим сами вычисления и покажем только результат.

18f35a79565b79570fe341e8b6d85172.png

Давайте проверим при помощи Python

(embedding + Z).mean(axis=-1, keepdims=True)
array([[-4.58837567],
       [-3.59559107]])
(embedding + Z).std(axis=-1, keepdims=True)
array([[ 9.92061529],
       [10.50653019]])

Отлично! Теперь нормализуем

5.3.2 Нормализация

При нормализации из каждого значения в эмбеддинге мы вычитаем среднее и делим его на квадратичное отклонение. Эпсилон — это очень маленькое значение, например, 0,00001. Чтобы упростить, будем считать, что γ = 1, а β = 0.

ffe25dfe71f08897906a58c82bd44a0f.png

Для второго эмбеддинга мы не будем выполнять вычисления вручную. Проверим их при помощи кода. Переопределим функцию encoder_block, внеся следующее изменение:

def layer_norm(x, epsilon=1e-6):
    mean = x.mean(axis=-1, keepdims=True)
    std = x.std(axis=-1, keepdims=True)
    return (x - mean) / (std + epsilon)

def encoder_block(x, WQs, WKs, WVs, W1, b1, W2, b2):
    Z = multi_head_attention(x, WQs, WKs, WVs)
    Z = layer_norm(Z + x)

    output = feed_forward(Z, W1, b1, W2, b2)
    return layer_norm(output + Z)
layer_norm(Z + embedding)
array([[ 1.71887693, -0.56365339, -0.40370747, -0.75151608],
       [ 1.71909039, -0.56050453, -0.40695381, -0.75163205]])

Сработало! Давайте ещё раз попробуем пропустить эмбеддинг через шесть кодировщиков.

def encoder(x, n=6):
    for _ in range(n):
        x = random_encoder_block(x)
    return x


encoder(embedding)
array([[-0.335849  , -1.44504571,  1.21698183,  0.56391289],
       [-0.33583947, -1.44504861,  1.21698606,  0.56390202]])

Отлично! Значения приемлемые и отсутствуют NaN! Идея стека кодировщиков заключается в том, что на выходе они выдают непрерывное описание z, передающее смысл входной последовательности. Затем это описание передаётся декодеру, который генерирует выходную последовательность символов по одному элементу за раз.

Прежде чем приступать к декодеру, взглянем на изображение из потрясающего поста Джея:

Кодировщик и декодер
Кодировщик и декодер

Каждый из элементов в левой части должен быть вам уже понятен! Впечатляет, правда? А теперь давайте перейдём к декодеру.

Декодер

Большинство знаний, полученных при изучении кодировщиков, будет использоваться и в декодере! Декодер имеет два слоя самовнимания, один для кодировщика, другой для декодера. Также декодер имеет слой с прямой связью. Давайте разберём каждую из частей по порядку.

Блок декодера получает два элемента входных данных: выходные данные кодировщика и сгенерированную выходную последовательность. Выходные данные кодировщика — это описание входной последовательности. В процессе инференса сгенерированная выходная последовательность начинается с особого токена начала последовательности (start-of-sequence token, SOS). Во время обучения целевая выходная последовательность — это действительная выходная последовательность, сдвинутая на одну позицию. Скоро это станет вам понятнее!

Имея сгенерированный кодировщиком эмбеддинг и токен SOS, декодер генерирует следующий токен последовательности, то есть «hola». Декодер авторегрессивен, то есть он берёт ранее сгенерированные токены и снова генерирует второй токен.

  • Итерация 1: входные данные — SOS, выходные — «hola»

  • Итерация 2: входные данные — SOS + «hola», выходные — «mundo»

  • Итерация 3: входные данные — SOS + «hola» + «mundo», выходные — EOS

Здесь SOS — это токен начала последовательности, а EOS — токен конца последовательности. После генерации токена EOS декодер прекращает работу. Он генерирует по одному токену за раз. Обратите внимание, что во всех итерациях используется эмбеддинг, сгенерированный кодировщиком.

Примечание

Такая авторегрессивная структура замедляет работу декодера. Кодировщик способен генерировать свой эмбеддинг за один прямой проход, а декодеру необходимо выполнить множество прямых проходов. Это одна из причин, по которым архитектуры, использующие один кодировщик (например, BERT или модели схожести предложений) гораздо быстрее, чем архитектуры с одними только декодерами (например, GPT-2 или BART).

Давайте разберём каждый из этапов! Как и кодировщик, декодер состоит из стека блоков декодеров. Блок декодера чуть сложнее, чем блок кодировщика. Его общая структура такова:

  1. Слой самовнимания (маскированный)

  2. Остаточная связь и нормализация слоя

  3. Слой внимания кодировщика-декодера

  4. Остаточная связь и нормализация слоя

  5. Слой с прямой связью

  6. Остаточная связь и нормализация слоя

Мы уже знакомы со всей математикой пунктов 1, 2, 3, 5 и 6. Взглянув на правую часть изображения ниже, вы увидите, что все эти блоки вам уже известны :

Модель трансформера из статьи «Attention is all you need»
Модель трансформера из статьи «Attention is all you need»

1. Эмбеддинг текста

Первый текст декодера нужен для эмбеддинга входных токенов. Входным токеном является SOS, так что мы выполняем его эмбеддинг. Используется та же размерность эмбеддинга, что и для кодировщика. Предположим, вектор эмбеддинга для SOS имеет такой вид:

35f571ab480469598afaf2272b2ac2ea.png

2. Позиционное кодирование

Теперь мы добавим в эмбеддинг позиционное кодирование, как делали это в случае с кодировщиком. Учитывая, что это так же позиция, что и у «Hello», у нас будет то же позиционное кодирование, что и раньше:

  • i = 0 (чётный): PE(0,0) = sin(0 / 10000^(0 / 4)) = sin(0) = 0

  • i = 1 (нечётный): PE(0,1) = cos(0 / 10000^(2*1 / 4)) = cos(0) = 1

  • i = 2 (чётный): PE(0,2) = sin(0 / 10000^(2*2 / 4)) = sin(0) = 0

  • i = 3 (нечётный): PE(0,3) = cos(0 / 10000^(2*3 / 4)) = cos(0) = 1

3. Сложение позиционного кодирования и эмбеддинга

Сложение позиционного кодирования с эмбеддингом выполняется сложением двух векторов:

94c8d59a4656853cd52979ac450b716b.png

4. Самовнимание

Первый этап в блоке декодера — это механизм самовнимания. К счастью, у нас есть для этого код и мы можем просто его использовать!

d_embedding = 4
n_attention_heads = 2

E = np.array([[1, 1, 0, 1]])
WQs = [np.random.randn(d_embedding, d_query) for _ in range(n_attention_heads)]
WKs = [np.random.randn(d_embedding, d_key) for _ in range(n_attention_heads)]
WVs = [np.random.randn(d_embedding, d_value) for _ in range(n_attention_heads)]

Z_self_attention = multi_head_attention(E, WQs, WKs, WVs)
Z_self_attention
array([[ 2.19334924, 10.61851198, -4.50089666, -2.76366551]])

Примечание

С точки зрения инференса всё довольно просто, однако с точки зрения обучения есть сложности. При обучении мы используем неразмеченные данные: просто кучу текстовых данных, которые собираем частым скрейпингом в вебе. Цель кодировщика — передача всей информации входных данных, а задача декодера —предсказание следующего наиболее вероятного токена. Это значит, что декодер может использовать только ранее сгенерированные токены (он не может схитрить и посмотреть следующие токены).

Из-за этого мы используем маскированное самовнимание: маскируем ещё не сгенерированные токены. Это выполняется присвоением показателям внимания значений -inf. Так делается в научной статье (раздел 3.2.3.1). Пока мы это пропустим, но важно помнить, что при обучении декодер чуть сложнее.

5. Остаточные связи и нормализация слоёв

Здесь нет ничего таинственного, мы просто складываем входные данные с выходными данными самовнимания и применяем нормализацию слоя. Используется тот же код, что и выше.

Z_self_attention = layer_norm(Z_self_attention + E)
Z_self_attention
array([[ 0.17236212,  1.54684892, -1.0828824 , -0.63632864]])

6. Внимание кодировщика-декодера

Эта часть новая! Если вы задавались вопросом, куда направляются генерируемые кодировщиком эмбеддинги, то сейчас самое время для них!

Предположим, что выходными данными кодировщика является такая матрица:

fc2024fb11fec40a9e7153c6615fc0ce.png

В механизме самовнимания мы вычисляем запросы, ключи и значения для входного эмбеддинга.

Во внимании кодировщика-декодера мы вычисляем запросы из предыдущего слоя декодера и ключи и значения из выходных данных кодировщика! Все вычисления остаются такими же, что и раньше; единственное отличие в том, какой эмбеддинг использовать для запросов. Давайте взглянем на код

def encoder_decoder_attention(encoder_output, attention_input, WQ, WK, WV):
    # В следующих трёх строках и состоит основное различие!
    K = encoder_output @ WK    # Обратите внимание, что теперь мы передаём предыдущие выходные данные кодировщика!
    V = encoder_output @ WV    # Обратите внимание, что теперь мы передаём предыдущие выходные данные кодировщика!
    Q = attention_input @ WQ   # То же, что и для самовнимания

    # Остаётся таким же
    scores = Q @ K.T
    scores = scores / np.sqrt(d_key)
    scores = softmax(scores)
    scores = scores @ V
    return scores


def multi_head_encoder_decoder_attention(
    encoder_output, attention_input, WQs, WKs, WVs
):
    # Обратите внимание, что теперь мы передаём предыдущие выходные данные кодировщика!
    attentions = np.concatenate(
        [
            encoder_decoder_attention(
                encoder_output, attention_input, WQ, WK, WV
            )
            for WQ, WK, WV in zip(WQs, WKs, WVs)
        ],
        axis=1,
    )
    W = np.random.randn(n_attention_heads * d_value, d_embedding)
    return attentions @ W
WQs = [np.random.randn(d_embedding, d_query) for _ in range(n_attention_heads)]
WKs = [np.random.randn(d_embedding, d_key) for _ in range(n_attention_heads)]
WVs = [np.random.randn(d_embedding, d_value) for _ in range(n_attention_heads)]

encoder_output = np.array([[-1.5, 1.0, -0.8, 1.5], [1.0, -1.0, -0.5, 1.0]])

Z_encoder_decoder = multi_head_encoder_decoder_attention(
    encoder_output, Z_self_attention, WQs, WKs, WVs
)
Z_encoder_decoder
array([[ 1.57651431,  4.92489307, -0.08644448, -0.46776051]])

Сработало! Возможно, вы зададитесь вопросом: «зачем мы это делаем?». Дело в том, что мы хотим, чтобы декодер сосредоточился на релевантных частях входного текста (то есть «hello world»). Внимание кодировщика-декодера позволяет каждой позиции в декодере посетить все позиции входной последовательности. Это очень полезно для таких задач, как перевод, когда декодеру нужно сосредоточиться на релевантных частях входной последовательности. Декодер будет учиться сосредотачиваться на релевантных частях входной последовательности, учась генерировать правильные выходные токены. Это очень мощный механизм!

7. Остаточные связи и нормализация слоя

Всё то же, что и раньше!

Z_encoder_decoder = layer_norm(Z_encoder_decoder + Z_self_attention)
Z_encoder_decoder
array([[-0.44406723,  1.6552893 , -0.19984632, -1.01137575]])

8. Слой с прямой связью

И тут то же самое! После этого я также выполню остаточную связь и нормализацию слоя.

W1 = np.random.randn(4, 8)
W2 = np.random.randn(8, 4)
b1 = np.random.randn(8)
b2 = np.random.randn(4)

output = layer_norm(feed_forward(Z_encoder_decoder, W1, b1, W2, b2) + Z_encoder_decoder)
output
array([[-0.97650182,  0.81470137, -2.79122044, -3.39192873]])

9. Объединяем всё: произвольный декодер

Давайте напишем код для одного блока декодера. Самое главное изменение заключается в том, что теперь у нас есть дополнительный механизм внимания.

d_embedding = 4
d_key = d_value = d_query = 3
d_feed_forward = 8
n_attention_heads = 2
encoder_output = np.array([[-1.5, 1.0, -0.8, 1.5], [1.0, -1.0, -0.5, 1.0]])

def decoder_block(
    x,
    encoder_output,
    WQs_self_attention, WKs_self_attention, WVs_self_attention,
    WQs_ed_attention, WKs_ed_attention, WVs_ed_attention,
    W1, b1, W2, b2,
):
    # То же, что и раньше
    Z = multi_head_attention(
        x, WQs_self_attention, WKs_self_attention, WVs_self_attention
    )
    Z = layer_norm(Z + x)

    # Основное различие заключается в следующих трёх строках!
    Z_encoder_decoder = multi_head_encoder_decoder_attention(
        encoder_output, Z, WQs_ed_attention, WKs_ed_attention, WVs_ed_attention
    )
    Z_encoder_decoder = layer_norm(Z_encoder_decoder + Z)

    # То же, что и раньше
    output = feed_forward(Z_encoder_decoder, W1, b1, W2, b2)
    return layer_norm(output + Z_encoder_decoder)

def random_decoder_block(x, encoder_output):
    # Просто несколько произвольных инициализаций
    WQs_self_attention = [
        np.random.randn(d_embedding, d_query) for _ in range(n_attention_heads)
    ]
    WKs_self_attention = [
        np.random.randn(d_embedding, d_key) for _ in range(n_attention_heads)
    ]
    WVs_self_attention = [
        np.random.randn(d_embedding, d_value) for _ in range(n_attention_heads)
    ]

    WQs_ed_attention = [
        np.random.randn(d_embedding, d_query) for _ in range(n_attention_heads)
    ]
    WKs_ed_attention = [
        np.random.randn(d_embedding, d_key) for _ in range(n_attention_heads)
    ]
    WVs_ed_attention = [
        np.random.randn(d_embedding, d_value) for _ in range(n_attention_heads)
    ]

    W1 = np.random.randn(d_embedding, d_feed_forward)
    b1 = np.random.randn(d_feed_forward)
    W2 = np.random.randn(d_feed_forward, d_embedding)
    b2 = np.random.randn(d_embedding)


    return decoder_block(
        x, encoder_output,
        WQs_self_attention, WKs_self_attention, WVs_self_attention,
        WQs_ed_attention, WKs_ed_attention, WVs_ed_attention,
        W1, b1, W2, b2,
    )
def decoder(x, decoder_embedding, n=6):
    for _ in range(n):
        x = random_decoder_block(x, decoder_embedding)
    return x

decoder(E, encoder_output)
array([[ 0.25919176,  1.49913566, -1.14331487, -0.61501256],
       [ 0.25956188,  1.49896896, -1.14336934, -0.61516151]])

Генерация выходной последовательности

У нас уже есть все необходимые части! Давайте сгенерируем выходную последовательность.

  • У нас есть кодировщик, получающий входную последовательность и генерирующий его обогащённое описание. Он состоит из стека блоков кодировщиков.

  • У нас есть декодер, получающий выходные данные кодировщика и сгенерированные токены и генерирующий выходную последовательность. Он состоит из стека блоков декодеров.

Как перейти от выходных данных декодера к слову? Нужно добавить поверх декодера последний линейный слой и слой softmax. Весь алгоритм в целом выглядит так:

  1. Обработка кодировщиком: кодировщик получает входную последовательность и генерирует контекстуализированное описание всего предложения при помощи стека блоков кодировщиков.

  2. Инициализация декодера: процесс декодирования начинается с эмбеддинга токена SOS (Start of Sequence), соединённого с выходными данными кодировщика.

  3. Работа декодера: декодер использует выходные данные кодировщика и эмбеддинги всех ранее сгенерированных токенов для создания нового списка эмбеддингов.

  4. Линейный слой для логитов: линейный слой применяется к последнему выходному эмбеддингу декодера для генерации логитов, представляющих сырые предсказания следующего токена.

  5. Softmax для вероятностей: затем эти логиты передаются через слой softmax, преобразующий их в распределение вероятностей по потенциальным следующим токенам.

  6. Итеративная генерация токенов: этот процесс повторяется, и на каждом этапе декодер генерирует следующий токен на основании кумулятивных эмбеддингов ранее сгенерированных токенов и исходных выходных данных кодировщика.

  7. Формирование предложения: эти этапы генерации продолжаются, пока не будет создан токен EOS (End of Sequence) или не достигнута заранее заданная максимальная длина предложения.

Об этом говорится в разделе 3.4 научной статьи.

1. Линейный слой

Линейный слой — это простое линейное преобразование. Он получает выходные данные декодера и преобразует их в вектор размера vocab_size. Это размер словаря. Например, если у нас есть словарь из 10000 слов, то линейный слой преобразовал бы выходные данные декодера в вектор размера 10000. Этот вектор содержал бы вероятность того, что каждое слово будет следующим словом в последовательности. Для простоты можно начать со словаря из 10 слов и предположить, что первые выходные данные декодера — это очень простой вектор: [1, 0, 1, 0]. Мы используем произвольные веса и матрицы перекосов размера vocab_size x decoder_output_size.

def linear(x, W, b):
    return np.dot(x, W) + b

x = linear([1, 0, 1, 0], np.random.randn(4, 10), np.random.randn(10))
x
array([ 0.06900542, -1.81351091, -1.3122958 , -0.33197364,  2.54767851,
       -1.55188231,  0.82907169,  0.85910931, -0.32982856, -1.26792439])

Примечание

Что используется в качестве входных данных для линейного слоя? Декодер будет выводить по одному эмбеддингу для каждого токена в последовательности. Входными данными для линейного слоя станет последний сгенерированный эмбеддинг. Последний эмбеддинг включает в себя информацию для всей последовательности до этого этапа, то есть содержит всю информацию, необходимую для генерации следующего токена. Это значит, что каждый выходной эмбеддинг декодера содержит информацию о всей последовательности до этого этапа.

2. Softmax

Они называются логитами, но интерпретировать их не так просто. Для получения вероятностей можно применить функцию softmax.

softmax(x)
array([[0.01602618, 0.06261303, 0.38162024, 0.03087794, 0.0102383 ,
        0.00446011, 0.01777314, 0.00068275, 0.46780959, 0.00789871]])

И так мы получили вероятности! Предположим, словарь имеет такой вид:

af1ce2cd67a1bfc1e3def62b9b09cc96.png

Мы видим, что вероятности таковы:

  • hello: 0.01602618

  • mundo: 0.06261303

  • world: 0.38162024

  • how: 0.03087794

  • ?: 0.0102383

  • EOS: 0.00446011

  • SOS: 0.01777314

  • a: 0.00068275

  • hola: 0.46780959

  • c: 0.00789871

Из этого видно, что наиболее вероятный следующий токен — это «hola». Если всегда выбирается наиболее вероятный токен, это называется жадным декодингом. Это не всегда наилучший подход, потому что он может привести к субоптимальным результатам, но пока мы не будем сейчас углубляться в методики генерации. Если хотите узнать о них подробнее, то прочитайте потрясающий пост.

3. Случайный трансформер из кодировщика и декодера

Давайте напишем код целиком. Зададим словарь, сопоставляющий слова с их изначальными эмбеддингами. Надо отменить, что это тоже изучается при обучении, но пока мы используем случайные значения.

vocabulary = [
    "hello",
    "mundo",
    "world",
    "how",
    "?",
    "EOS",
    "SOS",
    "a",
    "hola",
    "c",
]
embedding_reps = np.random.randn(10, 4)
vocabulary_embeddings = {
    word: embedding_reps[i] for i, word in enumerate(vocabulary)
}
vocabulary_embeddings
{'hello': array([-0.32106406,  2.09332588, -0.77994069,  0.92639774]),
 'mundo': array([-0.59563791, -0.63389256,  1.70663692, -0.99495115]),
 'world': array([ 1.35581862, -0.0323546 ,  2.76696887,  0.83069982]),
 'how': array([-0.52975474,  0.94439644,  0.80073818, -1.50135518]),
 '?': array([-0.88116833,  0.13995055,  2.01827674, -0.52554391]),
 'EOS': array([1.12207024, 1.40905796, 1.22231714, 0.02267638]),
 'SOS': array([-0.60624082, -0.67560165,  0.77152125,  0.63472247]),
 'a': array([ 1.67622229, -0.20319309, -0.18324905, -0.24258774]),
 'hola': array([ 1.07809402, -0.83846408, -0.33448976,  0.28995976]),
 'c': array([ 0.65643157,  0.24935726, -0.80839751, -1.87156293])}

А теперь напишем произвольный метод generate , авторегрессивно генерирующий токены.

def generate(input_sequence, max_iters=3):
    # Сначала мы кодируем входные данные в эмбеддинги
    # Для простоты мы пропустим этап позиционного кодирования
    embedded_inputs = [
        vocabulary_embeddings[token] for token in input_sequence
    ]
    print("Embedding representation (encoder input)", embedded_inputs)

    # Затем генерируем описание эмбеддинга
    encoder_output = encoder(embedded_inputs)
    print("Embedding generated by encoder (encoder output)", encoder_output)

    # Инициализируем выходные данные декодера эмбеддингом начального токена
    sequence_embeddings = [vocabulary_embeddings["SOS"]]
    output = "SOS"
    
    # Случайные матрицы для линейного слоя
    W_linear = np.random.randn(d_embedding, len(vocabulary))
    b_linear = np.random.randn(len(vocabulary))

    # Мы ограничиваем количество этапов декодинга, чтобы избежать слишком последовательностей без EOS
    for i in range(max_iters):
        # Этап декодера
        decoder_output = decoder(sequence_embeddings, encoder_output)

        # Используем для предсказания только последние выходные данные
        logits = linear(decoder_output[-1], W_linear, b_linear)
        # Обёртываем логиты в список, потому что softmax нужны пакеты/2D-массив
        probs = softmax([logits])

        # Получаем наиболее вероятный следующий токен
        next_token = vocabulary[np.argmax(probs)]
        sequence_embeddings.append(vocabulary_embeddings[next_token])
        output += " " + next_token

        print(
            "Iteration", i, 
            "next token", next_token,
            "with probability of", np.max(probs),
        )

        # Если следующий токен последний, то возвращаем последовательность
        if next_token == "EOS":
            return output

    return output, sequence_embeddings

Давайте запустим код!

generate(["hello", "world"])
Embedding representation (encoder input) [array([-0.32106406,  2.09332588, -0.77994069,  0.92639774]), array([ 1.35581862, -0.0323546 ,  2.76696887,  0.83069982])]
Embedding generated by encoder (encoder output) [[ 1.14747807 -1.5941759   0.36847675  0.07822107]
 [ 1.14747705 -1.59417696  0.36847441  0.07822551]]
Iteration 0 next token hola with probability of 0.4327111653266739
Iteration 1 next token mundo with probability of 0.4411354383451089
Iteration 2 next token world with probability of 0.4746898792307499
('SOS hola mundo world',
 [array([-0.60624082, -0.67560165,  0.77152125,  0.63472247]),
  array([ 1.07809402, -0.83846408, -0.33448976,  0.28995976]),
  array([-0.59563791, -0.63389256,  1.70663692, -0.99495115]),
  array([ 1.35581862, -0.0323546 ,  2.76696887,  0.83069982])])

Отлично, теперь у нас есть токены «how», «a» и «c». Это неправильный перевод, но этого вполне можно было ожидать, ведь веса мы использовали случайные.

Советую ещё раз подробно изучить всю архитектуру кодировщика-декодера из научной статьи:

Кодировщик и декодер
Кодировщик и декодер

Заключение

Надеюсь, пост показался вам интересным и информативным! Мы рассмотрели множество аспектов. Но разве это всё? На самом деле, практически да! В архитектуры новых трансформеров добавляют множество трюков, но фундамент трансформера именно таков, каким мы его описали. В зависимости от задачи также можно использовать только кодировщик или декодер. Например, в задачах, требующих понимания, например, в классификации, можно использовать стек кодировщиков с линейным слоем поверх него. Для задач, требующих генерации, например, в переводе, можно использовать стеки кодировщиков и декодеров. А для свободной генерации, например, как в ChatGPT или Mistral, можно применять только стек декодеров.

Разумеется, мы многое упростили. Давайте вкратце проверим, какие были числа в научной статье о трансформере:

  • Размерность эмбеддингов: 512 (в нашем примере 4)

  • Количество кодировщиков: 6 (в нашем примере 6)

  • Количество декодеров: 6 (в нашем примере 6)

  • Размерность прямой связи: 2048 (в нашем примере 8)

  • Количество голов внимания: 8 (в нашем примере 2)

  • Размерность внимания: 64 (в нашем примере 3)

Мы рассмотрели множество тем, но довольно интересно, то мы можем достичь впечатляющих результатов, увеличив масштабы этих вычислений и проведя умное обучение. Мы не рассмотрели в посте обучение, потому что наша цель заключалась в понимании вычислений при использовании готовой модели, но я надеюсь, что это станет надёжным фундаментом для перехода к обучению!

Также можно найти более формальный документ с вычислениями в этом PDF.

Упражнения

Вот несколько упражнений, чтобы попрактиковаться в понимании трансформера.

  1. В чём предназначение позиционного кодирования?

  2. Чем отличаются самовнимание и внимание кодировщика-декодера?

  3. Что произойдёт, если размерность внимания слишком мала? А если слишком велика?

  4. Вкратце опишите структуру слоя с прямой связью.

  5. Почему декодер медленнее кодировщика?

  6. Какова цель остаточных связей и нормализации слоёв?

  7. Как выполняется переход от выходных данных декодера к вероятностям?

  8. Почему выбор каждый раз самого вероятного следующего токена может вызвать проблемы?

Ресурсы

Источник

Теги

Категория

Новости

Дата

  • 15.08.25 04:59 marcushenderson624

    Bitcoin Recovery Testimonial After falling victim to a cryptocurrency scam group, I lost $354,000 worth of USDT. I thought all hope was lost from the experience of losing my hard-earned money to scammers. I was devastated and believed there was no way to recover my funds. Fortunately, I started searching for help to recover my stolen funds and I came across a lot of testimonials online about Capital Crypto Recovery, an agent who helps in recovery of lost bitcoin funds, I contacted Capital Crypto Recover Service, and with their expertise, they successfully traced and recovered my stolen assets. Their team was professional, kept me updated throughout the process, and demonstrated a deep understanding of blockchain transactions and recovery protocols. They are trusted and very reliable with a 100% successful rate record Recovery bitcoin, I’m grateful for their help and highly recommend their services to anyone seeking assistance with lost crypto. Contact: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Email: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 15.08.25 04:59 marcushenderson624

    Bitcoin Recovery Testimonial After falling victim to a cryptocurrency scam group, I lost $354,000 worth of USDT. I thought all hope was lost from the experience of losing my hard-earned money to scammers. I was devastated and believed there was no way to recover my funds. Fortunately, I started searching for help to recover my stolen funds and I came across a lot of testimonials online about Capital Crypto Recovery, an agent who helps in recovery of lost bitcoin funds, I contacted Capital Crypto Recover Service, and with their expertise, they successfully traced and recovered my stolen assets. Their team was professional, kept me updated throughout the process, and demonstrated a deep understanding of blockchain transactions and recovery protocols. They are trusted and very reliable with a 100% successful rate record Recovery bitcoin, I’m grateful for their help and highly recommend their services to anyone seeking assistance with lost crypto. Contact: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Email: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 15.08.25 09:13 eva117

    Recovery experts and legal experts work together to get back stolen money. They use special skills to find and retrieve assets. This teamwork improves your chances of success. Learning to spot scam warnings is key. Look out for promises of big returns with no risk. Be wary of pressure to invest fast. Contact Marie at [email protected], Telegram @Marie_consultancy, or WhatsApp +1 7127594675. She can help you avoid future scams and recover lost bitcoin

  • 15.08.25 13:27 wendytaylor015

    My name is Wendy Taylor, I'm from Los Angeles, i want to announce to you Viewer how Capital Crypto Recover help me to restore my Lost Bitcoin, I invested with a Crypto broker without proper research to know what I was hoarding my hard-earned money into scammers, i lost access to my crypto wallet or had your funds stolen? Don’t worry Capital Crypto Recover is here to help you recover your cryptocurrency with cutting-edge technical expertise, With years of experience in the crypto world, Capital Crypto Recover employs the best latest tools and ethical hacking techniques to help you recover lost assets, unlock hacked accounts, Whether it’s a forgotten password, Capital Crypto Recover has the expertise to help you get your crypto back. a security company service that has a 100% success rate in the recovery of crypto assets, i lost wallet and hacked accounts. I provided them the information they requested and they began their investigation. To my surprise, Capital Crypto Recover was able to trace and recover my crypto assets successfully within 24hours. Thank you for your service in helping me recover my $647,734 worth of crypto funds and I highly recommend their recovery services, they are reliable and a trusted company to any individuals looking to recover lost money. Contact email [email protected] OR Telegram @Capitalcryptorecover Call/Text Number +1 (336)390-6684 his contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 15.08.25 13:27 wendytaylor015

    My name is Wendy Taylor, I'm from Los Angeles, i want to announce to you Viewer how Capital Crypto Recover help me to restore my Lost Bitcoin, I invested with a Crypto broker without proper research to know what I was hoarding my hard-earned money into scammers, i lost access to my crypto wallet or had your funds stolen? Don’t worry Capital Crypto Recover is here to help you recover your cryptocurrency with cutting-edge technical expertise, With years of experience in the crypto world, Capital Crypto Recover employs the best latest tools and ethical hacking techniques to help you recover lost assets, unlock hacked accounts, Whether it’s a forgotten password, Capital Crypto Recover has the expertise to help you get your crypto back. a security company service that has a 100% success rate in the recovery of crypto assets, i lost wallet and hacked accounts. I provided them the information they requested and they began their investigation. To my surprise, Capital Crypto Recover was able to trace and recover my crypto assets successfully within 24hours. Thank you for your service in helping me recover my $647,734 worth of crypto funds and I highly recommend their recovery services, they are reliable and a trusted company to any individuals looking to recover lost money. Contact email [email protected] OR Telegram @Capitalcryptorecover Call/Text Number +1 (336)390-6684 his contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 15.08.25 20:26 caitlinfedex

    After my wife passed, I found myself lonely and searching for connection. I joined a senior living forum just to talk with others my age to share stories, maybe feel a little less isolated. That’s where I met a man who claimed to be helping retirees like me manage their savings with cryptocurrency. He spoke warmly and convincingly about a retirement care fund that guaranteed lifetime monthly payouts. He said it was specifically designed for people in my stage of life safe secure and backed by health organizations. He gained my trust over weeks of conversation. We spoke daily. He called me by name asked about my late wife, and remembered little details about my life. I believed he genuinely cared. Eventually, I transferred $200000 in USDT the majority of my retirement savings, into the wallet address he provided. That was the last time I heard from him. The forum profile vanished. His phone number stopped working. No response to emails. I was stunned. I couldn’t believe I had been tricked. I didn’t know who to turn to. I felt ashamed and foolish. At my age recovering from a financial loss like this is nearly impossible.My relative stepped in. They searched online for solutions and found TRUST GEEKS HACK EXPERT. I was skeptical at first but they insisted we give them a chance. From the moment we contacted them they treated me with respect patience and genuine concern. Their team didn’t speak in technical riddles. They explained every step. They used blockchain analysis tools to trace the movement of my funds through several addresses.It turned out the wallet was linked to a scam platform. TRUST GEEKS HACK EXPERT worked directly with the USDT issuer and coordinated with relevant platforms to freeze the funds before they were fully laundered.In just two weeks they managed to recover $155000 in USDT.The money helped yes but it was more than that. I no longer felt powerless. I had been taken advantage of but I wasn’t alone in the fight. Thanks to TRUST GEEKS HACK EXPERT I got back not only a large part of my savings but also peace of mind a sense of dignity and hope for the future. If you ever find yourself in such situation I encourage you to contact TRUST GEEKS HACK EXPERT Email.trustgeekshackexpert{At}fastservice{Dot}com — Telegram:: Trustgeekshackexpert & W h a t's A p p  +1 7 1 9 4 9 2 2 6 9 3

  • 15.08.25 20:27 caitlinfedex

    After my wife passed, I found myself lonely and searching for connection. I joined a senior living forum just to talk with others my age to share stories, maybe feel a little less isolated. That’s where I met a man who claimed to be helping retirees like me manage their savings with cryptocurrency. He spoke warmly and convincingly about a retirement care fund that guaranteed lifetime monthly payouts. He said it was specifically designed for people in my stage of life safe secure and backed by health organizations. He gained my trust over weeks of conversation. We spoke daily. He called me by name asked about my late wife, and remembered little details about my life. I believed he genuinely cared. Eventually, I transferred $200000 in USDT the majority of my retirement savings, into the wallet address he provided. That was the last time I heard from him. The forum profile vanished. His phone number stopped working. No response to emails. I was stunned. I couldn’t believe I had been tricked. I didn’t know who to turn to. I felt ashamed and foolish. At my age recovering from a financial loss like this is nearly impossible.My relative stepped in. They searched online for solutions and found TRUST GEEKS HACK EXPERT. I was skeptical at first but they insisted we give them a chance. From the moment we contacted them they treated me with respect patience and genuine concern. Their team didn’t speak in technical riddles. They explained every step. They used blockchain analysis tools to trace the movement of my funds through several addresses.It turned out the wallet was linked to a scam platform. TRUST GEEKS HACK EXPERT worked directly with the USDT issuer and coordinated with relevant platforms to freeze the funds before they were fully laundered.In just two weeks they managed to recover $155000 in USDT.The money helped yes but it was more than that. I no longer felt powerless. I had been taken advantage of but I wasn’t alone in the fight. Thanks to TRUST GEEKS HACK EXPERT I got back not only a large part of my savings but also peace of mind a sense of dignity and hope for the future. If you ever find yourself in such situation I encourage you to contact TRUST GEEKS HACK EXPERT Email.trustgeekshackexpert{At}fastservice{Dot}com — Telegram:: Trustgeekshackexpert & W h a t's A p p  +1 7 1 9 4 9 2 2 6 9 3

  • 15.08.25 21:04 vallatjosette

    My Wild Ride: How a Wizard Hilton Cyber Tech Helped Me Recover Lost Bitcoin of 103,000 It all started when I had the misfortune of misplacing the digital wallet containing my substantial cryptocurrency holdings - a staggering 103,000 bitcoins. I had amassed this sizable fortune over the years through strategic investments and careful trading, but in a moment of carelessness, the private keys to my digital wallet had vanished. Panic set in as I grappled with the gravity of my situation - those bitcoins, worth millions at the time, were effectively lost to the ether, inaccessible and seemingly unrecoverable. Just when I had resigned myself to the devastating financial blow, a chance encounter with a self-proclaimed "digital wizard" Wizard Hilton Cyber Tech presented a glimmer of hope. This enigmatic individual, who operated in the shadowy corners of the crypto underworld, claimed to possess the arcane knowledge and skills necessary to retrieve my lost digital wealth. Intrigued and desperate, I put my skepticism aside and entrusted this mysterious wizard with the task. What followed was a wild, suspenseful journey into the depths of blockchain technology and cryptography, as the wizard navigated complex algorithms, exploited vulnerabilities, and pieced together the puzzle of my missing private keys. After days of intense effort, Wizard Hilton Cyber Tech emerged triumphant, having successfully recovered the entirety of my 103,000 bitcoin stash. The sheer relief and elation I felt in that moment was indescribable, as I regained access to my small digital fortune and was able to secure my financial future. This harrowing experience taught me the invaluable lesson of never taking the security of my cryptocurrency holdings for granted, and the importance of always maintaining the utmost diligence when it comes to protecting one's digital wealth. Email: wizardhiltoncybertech ( @ ) gmail (. ) com     OR support ( @ ) wizardhiltoncybertech (.) com WhatsApp number  +18737715701 Thanks.

  • 16.08.25 06:53 wendytaylor015

    My name is Wendy Taylor, I'm from Los Angeles, i want to announce to you Viewer how Capital Crypto Recover help me to restore my Lost Bitcoin, I invested with a Crypto broker without proper research to know what I was hoarding my hard-earned money into scammers, i lost access to my crypto wallet or had your funds stolen? Don’t worry Capital Crypto Recover is here to help you recover your cryptocurrency with cutting-edge technical expertise, With years of experience in the crypto world, Capital Crypto Recover employs the best latest tools and ethical hacking techniques to help you recover lost assets, unlock hacked accounts, Whether it’s a forgotten password, Capital Crypto Recover has the expertise to help you get your crypto back. a security company service that has a 100% success rate in the recovery of crypto assets, i lost wallet and hacked accounts. I provided them the information they requested and they began their investigation. To my surprise, Capital Crypto Recover was able to trace and recover my crypto assets successfully within 24hours. Thank you for your service in helping me recover my $647,734 worth of crypto funds and I highly recommend their recovery services, they are reliable and a trusted company to any individuals looking to recover lost money. Contact email [email protected] OR Telegram @Capitalcryptorecover Call/Text Number +1 (336)390-6684 his contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 16.08.25 06:53 wendytaylor015

    My name is Wendy Taylor, I'm from Los Angeles, i want to announce to you Viewer how Capital Crypto Recover help me to restore my Lost Bitcoin, I invested with a Crypto broker without proper research to know what I was hoarding my hard-earned money into scammers, i lost access to my crypto wallet or had your funds stolen? Don’t worry Capital Crypto Recover is here to help you recover your cryptocurrency with cutting-edge technical expertise, With years of experience in the crypto world, Capital Crypto Recover employs the best latest tools and ethical hacking techniques to help you recover lost assets, unlock hacked accounts, Whether it’s a forgotten password, Capital Crypto Recover has the expertise to help you get your crypto back. a security company service that has a 100% success rate in the recovery of crypto assets, i lost wallet and hacked accounts. I provided them the information they requested and they began their investigation. To my surprise, Capital Crypto Recover was able to trace and recover my crypto assets successfully within 24hours. Thank you for your service in helping me recover my $647,734 worth of crypto funds and I highly recommend their recovery services, they are reliable and a trusted company to any individuals looking to recover lost money. Contact email [email protected] OR Telegram @Capitalcryptorecover Call/Text Number +1 (336)390-6684 his contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 16.08.25 06:53 wendytaylor015

    My name is Wendy Taylor, I'm from Los Angeles, i want to announce to you Viewer how Capital Crypto Recover help me to restore my Lost Bitcoin, I invested with a Crypto broker without proper research to know what I was hoarding my hard-earned money into scammers, i lost access to my crypto wallet or had your funds stolen? Don’t worry Capital Crypto Recover is here to help you recover your cryptocurrency with cutting-edge technical expertise, With years of experience in the crypto world, Capital Crypto Recover employs the best latest tools and ethical hacking techniques to help you recover lost assets, unlock hacked accounts, Whether it’s a forgotten password, Capital Crypto Recover has the expertise to help you get your crypto back. a security company service that has a 100% success rate in the recovery of crypto assets, i lost wallet and hacked accounts. I provided them the information they requested and they began their investigation. To my surprise, Capital Crypto Recover was able to trace and recover my crypto assets successfully within 24hours. Thank you for your service in helping me recover my $647,734 worth of crypto funds and I highly recommend their recovery services, they are reliable and a trusted company to any individuals looking to recover lost money. Contact email [email protected] OR Telegram @Capitalcryptorecover Call/Text Number +1 (336)390-6684 his contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 16.08.25 07:01 lisared

    Losing nearly 500,000 USDT to hackers was one of the most devastating experience of my life. I felt powerless as my hard-earned assets vanished into anonymous blockchain transactions until I found Agent Jasmine Lopez. Her deep expertise, tireless effort, and unwavering focus gave me hope and delivered results. She traced complex transactions, pursued every lead, and recovered a large portion of my stolen funds something I never thought possible. If you’ve lost digital assets, don’t give up. Contact Recoveryfundprovider@gmail. com WhatsApp at +{44 736-644-5035}. She turned my nightmare into a recovery story, and she could do the same for you.

  • 16.08.25 17:05 mark

    I see a lot of recommendations online and it’s already obvious there are bad eggs online who will only add to your mystery. I can only recommend one and you can reach them via mail on (zattechrecovery @ gmail c0 m ) if you need help on recovering what you lost to scammers.

  • 17.08.25 03:33 wendytaylor015

    My name is Wendy Taylor, I'm from Los Angeles, i want to announce to you Viewer how Capital Crypto Recover help me to restore my Lost Bitcoin, I invested with a Crypto broker without proper research to know what I was hoarding my hard-earned money into scammers, i lost access to my crypto wallet or had your funds stolen? Don’t worry Capital Crypto Recover is here to help you recover your cryptocurrency with cutting-edge technical expertise, With years of experience in the crypto world, Capital Crypto Recover employs the best latest tools and ethical hacking techniques to help you recover lost assets, unlock hacked accounts, Whether it’s a forgotten password, Capital Crypto Recover has the expertise to help you get your crypto back. a security company service that has a 100% success rate in the recovery of crypto assets, i lost wallet and hacked accounts. I provided them the information they requested and they began their investigation. To my surprise, Capital Crypto Recover was able to trace and recover my crypto assets successfully within 24hours. Thank you for your service in helping me recover my $647,734 worth of crypto funds and I highly recommend their recovery services, they are reliable and a trusted company to any individuals looking to recover lost money. Contact email [email protected] OR Telegram @Capitalcryptorecover Call/Text Number +1 (336)390-6684 his contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 17.08.25 03:33 wendytaylor015

    My name is Wendy Taylor, I'm from Los Angeles, i want to announce to you Viewer how Capital Crypto Recover help me to restore my Lost Bitcoin, I invested with a Crypto broker without proper research to know what I was hoarding my hard-earned money into scammers, i lost access to my crypto wallet or had your funds stolen? Don’t worry Capital Crypto Recover is here to help you recover your cryptocurrency with cutting-edge technical expertise, With years of experience in the crypto world, Capital Crypto Recover employs the best latest tools and ethical hacking techniques to help you recover lost assets, unlock hacked accounts, Whether it’s a forgotten password, Capital Crypto Recover has the expertise to help you get your crypto back. a security company service that has a 100% success rate in the recovery of crypto assets, i lost wallet and hacked accounts. I provided them the information they requested and they began their investigation. To my surprise, Capital Crypto Recover was able to trace and recover my crypto assets successfully within 24hours. Thank you for your service in helping me recover my $647,734 worth of crypto funds and I highly recommend their recovery services, they are reliable and a trusted company to any individuals looking to recover lost money. Contact email [email protected] OR Telegram @Capitalcryptorecover Call/Text Number +1 (336)390-6684 his contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 17.08.25 05:22 aveasley4

    I’m a California resident who was contacted by someone named “Lin” on WhatsApp. Our conversation eventually turned to cryptocurrency investments. Lin introduced me to a trading platform called CBOTBIT (https://cbotbit.com), walked me through setting up an account, and guided me on transferring funds. Under Lin’s direction, I began trading and was led to believe that my account was growing significantly. However, when I attempted to withdraw my funds, I was unable to do so — and shortly after, the website went offline entirely. I had invested over $340,000 in Bitcoin, planning to use it for my retirement. The experience was devastating, and I was at a loss for what to do next. Eventually, I came across [email protected] and decided to reach out. I followed their instructions, and within a few days, I was able to recover my original investment. I'm incredibly relieved and grateful for their assistance, and I recommend contacting them if you’re in a similar situation and need help recovering lost funds.

  • 17.08.25 17:49 marcushenderson624

    Bitcoin Recovery Testimonial After falling victim to a cryptocurrency scam group, I lost $354,000 worth of USDT. I thought all hope was lost from the experience of losing my hard-earned money to scammers. I was devastated and believed there was no way to recover my funds. Fortunately, I started searching for help to recover my stolen funds and I came across a lot of testimonials online about Capital Crypto Recovery, an agent who helps in recovery of lost bitcoin funds, I contacted Capital Crypto Recover Service, and with their expertise, they successfully traced and recovered my stolen assets. Their team was professional, kept me updated throughout the process, and demonstrated a deep understanding of blockchain transactions and recovery protocols. They are trusted and very reliable with a 100% successful rate record Recovery bitcoin, I’m grateful for their help and highly recommend their services to anyone seeking assistance with lost crypto. Contact: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Email: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 17.08.25 17:49 marcushenderson624

    Bitcoin Recovery Testimonial After falling victim to a cryptocurrency scam group, I lost $354,000 worth of USDT. I thought all hope was lost from the experience of losing my hard-earned money to scammers. I was devastated and believed there was no way to recover my funds. Fortunately, I started searching for help to recover my stolen funds and I came across a lot of testimonials online about Capital Crypto Recovery, an agent who helps in recovery of lost bitcoin funds, I contacted Capital Crypto Recover Service, and with their expertise, they successfully traced and recovered my stolen assets. Their team was professional, kept me updated throughout the process, and demonstrated a deep understanding of blockchain transactions and recovery protocols. They are trusted and very reliable with a 100% successful rate record Recovery bitcoin, I’m grateful for their help and highly recommend their services to anyone seeking assistance with lost crypto. Contact: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Email: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 17.08.25 17:49 marcushenderson624

    Bitcoin Recovery Testimonial After falling victim to a cryptocurrency scam group, I lost $354,000 worth of USDT. I thought all hope was lost from the experience of losing my hard-earned money to scammers. I was devastated and believed there was no way to recover my funds. Fortunately, I started searching for help to recover my stolen funds and I came across a lot of testimonials online about Capital Crypto Recovery, an agent who helps in recovery of lost bitcoin funds, I contacted Capital Crypto Recover Service, and with their expertise, they successfully traced and recovered my stolen assets. Their team was professional, kept me updated throughout the process, and demonstrated a deep understanding of blockchain transactions and recovery protocols. They are trusted and very reliable with a 100% successful rate record Recovery bitcoin, I’m grateful for their help and highly recommend their services to anyone seeking assistance with lost crypto. Contact: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Email: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 18.08.25 21:10 Connorhelms

    I can honestly say losing my bitcoin savings was one of the darkest moments of my life. I had put everything I could into that investment, believing it would secure my future, only to wake up one day and realize the platform had vanished with all my funds. The feeling was indescribable, fear, shame, and helplessness all at once. I thought I’d never see that money again. Then I came across Alpha Spy Nest. At first, I was hesitant, I had already been deceived once, and the thought of trusting anyone else terrified me. But something about their professionalism and the way they patiently explained things gave me a little hope. For the first time in weeks, I felt like I wasn’t completely alone in the fight. They listened to my story without judgment, broke down the technical side in a way I could understand, and reassured me that there was still a chance. Watching them work was incredible. They traced every transaction, uncovered where my bitcoin had been moved, and kept me updated through every stage. It felt like they cared as much about my recovery as I did. The day they told me they had successfully recovered my lost savings, I actually cried. Seeing those funds back in my wallet felt unreal, it was like a huge weight had been lifted off my shoulders. Beyond just recovering my bitcoin, Alpha Spy Nest gave me back my peace of mind and restored a trust I thought I had lost forever. I’m forever grateful to them. If I hadn’t found Alpha Spy Nest, I’d still be stuck in regret and despair. Instead, I now share my story as proof that recovery is possible. You can also reach out to them via: Email: [email protected], WhatsApp: +15132924878‬, Telegram: https://t.me/Alphaspynest, Website: www.alphaspynest.org

  • 18.08.25 22:17 wendytaylor015

    My name is Wendy Taylor, I'm from Los Angeles, i want to announce to you Viewer how Capital Crypto Recover help me to restore my Lost Bitcoin, I invested with a Crypto broker without proper research to know what I was hoarding my hard-earned money into scammers, i lost access to my crypto wallet or had your funds stolen? Don’t worry Capital Crypto Recover is here to help you recover your cryptocurrency with cutting-edge technical expertise, With years of experience in the crypto world, Capital Crypto Recover employs the best latest tools and ethical hacking techniques to help you recover lost assets, unlock hacked accounts, Whether it’s a forgotten password, Capital Crypto Recover has the expertise to help you get your crypto back. a security company service that has a 100% success rate in the recovery of crypto assets, i lost wallet and hacked accounts. I provided them the information they requested and they began their investigation. To my surprise, Capital Crypto Recover was able to trace and recover my crypto assets successfully within 24hours. Thank you for your service in helping me recover my $647,734 worth of crypto funds and I highly recommend their recovery services, they are reliable and a trusted company to any individuals looking to recover lost money. Contact email [email protected] OR Telegram @Capitalcryptorecover Call/Text Number +1 (336)390-6684 his contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 18.08.25 22:17 wendytaylor015

    My name is Wendy Taylor, I'm from Los Angeles, i want to announce to you Viewer how Capital Crypto Recover help me to restore my Lost Bitcoin, I invested with a Crypto broker without proper research to know what I was hoarding my hard-earned money into scammers, i lost access to my crypto wallet or had your funds stolen? Don’t worry Capital Crypto Recover is here to help you recover your cryptocurrency with cutting-edge technical expertise, With years of experience in the crypto world, Capital Crypto Recover employs the best latest tools and ethical hacking techniques to help you recover lost assets, unlock hacked accounts, Whether it’s a forgotten password, Capital Crypto Recover has the expertise to help you get your crypto back. a security company service that has a 100% success rate in the recovery of crypto assets, i lost wallet and hacked accounts. I provided them the information they requested and they began their investigation. To my surprise, Capital Crypto Recover was able to trace and recover my crypto assets successfully within 24hours. Thank you for your service in helping me recover my $647,734 worth of crypto funds and I highly recommend their recovery services, they are reliable and a trusted company to any individuals looking to recover lost money. Contact email [email protected] OR Telegram @Capitalcryptorecover Call/Text Number +1 (336)390-6684 his contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 19.08.25 02:26 Jacksonbash

    You are not alone if you have had your bitcoins taken from your wallet or if you invested in an initial coin offering (ICO) that was a scam. I experienced the same thing. I first lost $173,000 to a fraudulent investment scam company in less than five months. I was able to get all of my money in five days thanks to a hacker my friend recommended. In order to raise awareness about these cryptocurrency criminals and do my part to minimize the number of victims, I'm speaking out. To report a victim, simply send an email to [email protected].

  • 19.08.25 18:15 keith

    RECOVER FROM CRYPTO SCAMS WITH THE HELP OF BONES RECOVERY BITCOIN EXPERT If someone needs to recover cryptocurrency that has been lost to wallet hackers, internet scammers, or BTC transferred to the wrong address, I suggest BONES RECOVERY BITCOIN, a very trustworthy recovery organization . Simply presenting my case to the expert and supplying the necessary data allowed BONES RECOVERY BITCOIN to assist me in recovering my Bitcoin. It's a relief that I recovered this much after losing considerably more to the fraudulent broker I initially put my trust in. Because we will inevitably make mistakes, we can never be diligent enough. If you have lost money to cryptocurrency scams, I strongly advise getting in touch with BONES RECOVERY BITCOIN. Contact address WhatsApp....‪+1-60-621-024-64‬ Email [email protected]

  • 19.08.25 18:54 patricialovick86

    How To Recover Your Bitcoin Without Falling Victim To Scams: A  Testimony Experience With Capital Crypto Recover Services, Contact Telegram: @Capitalcryptorecover Dear Everyone, I would like to take a moment to share my positive experience with Capital Crypto Recover Services. Initially, I was unsure if it would be possible to recover my stolen bitcoins. However, with their expertise and professionalism, I was able to fully recover my funds. Unfortunately, many individuals fall victim to scams in the cryptocurrency space, especially those involving fraudulent investment platforms. However, I advise caution, as not all recovery services are legitimate. I personally lost $273,000 worth of Bitcoin from my Binance account due to a deceptive platform. If you have suffered a similar loss, you may be considering crypto recovery, The Capital Crypto Recover is the most knowledgeable and effective Capital Crypto Recovery Services assisted me in recovering my stolen funds within 24 hours, after getting access to my wallet. Their service was not only prompt but also highly professional and effective, and many recovery services may not be trustworthy. Therefore, I highly recommend Capital Crypto Recover to you. i do always research and see reviews about their service, For assistance finding your misplaced cryptocurrency, get in touch with them, They do their jobs quickly and excellently, Stay safe and vigilant in the crypto world. Contact: [email protected]  You can reach them via email at [email protected] OR Call/Text Number +1 (336)390-6684 his contact website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 19.08.25 18:54 patricialovick86

    How To Recover Your Bitcoin Without Falling Victim To Scams: A  Testimony Experience With Capital Crypto Recover Services, Contact Telegram: @Capitalcryptorecover Dear Everyone, I would like to take a moment to share my positive experience with Capital Crypto Recover Services. Initially, I was unsure if it would be possible to recover my stolen bitcoins. However, with their expertise and professionalism, I was able to fully recover my funds. Unfortunately, many individuals fall victim to scams in the cryptocurrency space, especially those involving fraudulent investment platforms. However, I advise caution, as not all recovery services are legitimate. I personally lost $273,000 worth of Bitcoin from my Binance account due to a deceptive platform. If you have suffered a similar loss, you may be considering crypto recovery, The Capital Crypto Recover is the most knowledgeable and effective Capital Crypto Recovery Services assisted me in recovering my stolen funds within 24 hours, after getting access to my wallet. Their service was not only prompt but also highly professional and effective, and many recovery services may not be trustworthy. Therefore, I highly recommend Capital Crypto Recover to you. i do always research and see reviews about their service, For assistance finding your misplaced cryptocurrency, get in touch with them, They do their jobs quickly and excellently, Stay safe and vigilant in the crypto world. Contact: [email protected]  You can reach them via email at [email protected] OR Call/Text Number +1 (336)390-6684 his contact website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 19.08.25 18:54 patricialovick86

    How To Recover Your Bitcoin Without Falling Victim To Scams: A  Testimony Experience With Capital Crypto Recover Services, Contact Telegram: @Capitalcryptorecover Dear Everyone, I would like to take a moment to share my positive experience with Capital Crypto Recover Services. Initially, I was unsure if it would be possible to recover my stolen bitcoins. However, with their expertise and professionalism, I was able to fully recover my funds. Unfortunately, many individuals fall victim to scams in the cryptocurrency space, especially those involving fraudulent investment platforms. However, I advise caution, as not all recovery services are legitimate. I personally lost $273,000 worth of Bitcoin from my Binance account due to a deceptive platform. If you have suffered a similar loss, you may be considering crypto recovery, The Capital Crypto Recover is the most knowledgeable and effective Capital Crypto Recovery Services assisted me in recovering my stolen funds within 24 hours, after getting access to my wallet. Their service was not only prompt but also highly professional and effective, and many recovery services may not be trustworthy. Therefore, I highly recommend Capital Crypto Recover to you. i do always research and see reviews about their service, For assistance finding your misplaced cryptocurrency, get in touch with them, They do their jobs quickly and excellently, Stay safe and vigilant in the crypto world. Contact: [email protected]  You can reach them via email at [email protected] OR Call/Text Number +1 (336)390-6684 his contact website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 20.08.25 12:01 Official

    I Want To Testify About Dark Web Blank ATM Cards. What'sapp : +2348159250336 (The Official Automatic Teller Machine) They Sell Automatic Blank ATM Cards That You Can Use To Withdraw Money At Any ATM Machine Around The World Wide. Order Your Blank ATM Card Now With The Official Automatic Teller Machine. What'sapp : +2348159250336 Email Address : [email protected]

  • 20.08.25 17:00 lisared

    Few months ago I experienced one of the most devastating moments of my life €300k was stolen by hackers . When my money was stolen I felt hopeless, until I was introduced to Agent Jasmine Lopez her expertise and dedication gave me peace of mind. She skillfully traced complex transactions and tracked down the scammers, which would have been impossible for me to do on my own. Thanks to her tireless efforts, I was able to recover a significant portion of my lost funds. If you've fallen victim of hackers, I highly recommend reaching out to her. You can contact her via email at Recoveryfundprovider@gmail. com WhatsApp at +{44 736-644-5035}. Her attention to detail and commitment to her work are truly impressive. Don't hesitate to reach out her expertise could be the key to recovering your lost funds.

  • 20.08.25 20:42 vallatjosette

    My Wild Ride: How a Wizard Hilton Cyber Tech Helped Me Recover Lost Bitcoin of 103,000 It all started when I had the misfortune of misplacing the digital wallet containing my substantial cryptocurrency holdings - a staggering 103,000 bitcoins. I had amassed this sizable fortune over the years through strategic investments and careful trading, but in a moment of carelessness, the private keys to my digital wallet had vanished. Panic set in as I grappled with the gravity of my situation - those bitcoins, worth millions at the time, were effectively lost to the ether, inaccessible and seemingly unrecoverable. Just when I had resigned myself to the devastating financial blow, a chance encounter with a self-proclaimed "digital wizard" Wizard Hilton Cyber Tech presented a glimmer of hope. This enigmatic individual, who operated in the shadowy corners of the crypto underworld, claimed to possess the arcane knowledge and skills necessary to retrieve my lost digital wealth. Intrigued and desperate, I put my skepticism aside and entrusted this mysterious wizard with the task. What followed was a wild, suspenseful journey into the depths of blockchain technology and cryptography, as the wizard navigated complex algorithms, exploited vulnerabilities, and pieced together the puzzle of my missing private keys. After days of intense effort, Wizard Hilton Cyber Tech emerged triumphant, having successfully recovered the entirety of my 103,000 bitcoin stash. The sheer relief and elation I felt in that moment was indescribable, as I regained access to my small digital fortune and was able to secure my financial future. This harrowing experience taught me the invaluable lesson of never taking the security of my cryptocurrency holdings for granted, and the importance of always maintaining the utmost diligence when it comes to protecting one's digital wealth. Email: wizardhiltoncybertech ( @ ) gmail (. ) com     OR support ( @ ) wizardhiltoncybertech (.) com WhatsApp number  +18737715701 Thanks.

  • 21.08.25 01:54 michaeldavenport218

    I was recently scammed out of $53,000 by a fraudulent Bitcoin investment scheme, which added significant stress to my already difficult health issues, as I was also facing cancer surgery expenses. Desperate to recover my funds, I spent hours researching and consulting other victims, which led me to discover the excellent reputation of Capital Crypto Recover, I came across a Google post It was only after spending many hours researching and asking other victims for advice that I discovered Capital Crypto Recovery’s stellar reputation. I decided to contact them because of their successful recovery record and encouraging client testimonials. I had no idea that this would be the pivotal moment in my fight against cryptocurrency theft. Thanks to their expert team, I was able to recover my lost cryptocurrency back. The process was intricate, but Capital Crypto Recovery's commitment to utilizing the latest technology ensured a successful outcome. I highly recommend their services to anyone who has fallen victim to cryptocurrency fraud. For assistance contact [email protected] and on Telegram OR Call Number +1 (336)390-6684 via email: [email protected] you can visit his website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 21.08.25 01:54 michaeldavenport218

    I was recently scammed out of $53,000 by a fraudulent Bitcoin investment scheme, which added significant stress to my already difficult health issues, as I was also facing cancer surgery expenses. Desperate to recover my funds, I spent hours researching and consulting other victims, which led me to discover the excellent reputation of Capital Crypto Recover, I came across a Google post It was only after spending many hours researching and asking other victims for advice that I discovered Capital Crypto Recovery’s stellar reputation. I decided to contact them because of their successful recovery record and encouraging client testimonials. I had no idea that this would be the pivotal moment in my fight against cryptocurrency theft. Thanks to their expert team, I was able to recover my lost cryptocurrency back. The process was intricate, but Capital Crypto Recovery's commitment to utilizing the latest technology ensured a successful outcome. I highly recommend their services to anyone who has fallen victim to cryptocurrency fraud. For assistance contact [email protected] and on Telegram OR Call Number +1 (336)390-6684 via email: [email protected] you can visit his website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 21.08.25 01:54 michaeldavenport218

    I was recently scammed out of $53,000 by a fraudulent Bitcoin investment scheme, which added significant stress to my already difficult health issues, as I was also facing cancer surgery expenses. Desperate to recover my funds, I spent hours researching and consulting other victims, which led me to discover the excellent reputation of Capital Crypto Recover, I came across a Google post It was only after spending many hours researching and asking other victims for advice that I discovered Capital Crypto Recovery’s stellar reputation. I decided to contact them because of their successful recovery record and encouraging client testimonials. I had no idea that this would be the pivotal moment in my fight against cryptocurrency theft. Thanks to their expert team, I was able to recover my lost cryptocurrency back. The process was intricate, but Capital Crypto Recovery's commitment to utilizing the latest technology ensured a successful outcome. I highly recommend their services to anyone who has fallen victim to cryptocurrency fraud. For assistance contact [email protected] and on Telegram OR Call Number +1 (336)390-6684 via email: [email protected] you can visit his website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 21.08.25 14:56 elainemurray

    E.M.A.I.L. [email protected] W.h.a.t.s.A.p.p. +1(561)(726)(3697) It all began with an Instagram advertisement. A man presented himself as a cryptocurrency investment coach, showcasing a luxurious lifestyle and screenshots of substantial profits. He claimed his trading algorithm could double any investment in a week. Curious, I decided to reach out to him. He said the minimum investment was $50,000 and sent me a link to a platform that looked legitimate. At first, everything seemed promising. My balance increased steadily, charts showed growth, and I felt excited. When I tried to withdraw the money, the system blocked the transaction and demanded a release fee of $15,000. I paid it, but my account was soon marked under review, and the coach stopped responding. I realised I had been scammed. Desperate, I turned to Techy Force Cyber Retrieval. From the first consultation, they carefully reviewed my case and assured me the funds could be traced. They explained how they would track the wallet addresses and follow the path of the stolen money. Their clear guidance made me feel confident. Over the next few weeks, Techy Force Cyber Retrieval kept me updated on every step. They traced the transactions. Their persistence and expertise were obvious, and I could see real progress. Even when the process felt slow, Techy Force Cyber Retrieval maintained clear communication. They explained each action and why it mattered. Their careful attention made the ordeal manageable and reassuring. A month later, thanks to Techy Force Cyber Retrieval, I was able to recover 80% of my money and have it safely returned to my bank account. Relief and gratitude overwhelmed me. What started as a tempting opportunity had turned into a stressful ordeal, but Techy Force Cyber Retrieval transformed it into a successful resolution.

  • 21.08.25 21:17 monte5757

    I went through one of the most painful experiences of my life I lost over $850,000 to scammers. They had no mercy,things got so bad that I even sold some of my properties just to keep up with their demands. At one point, I felt completely hopeless and trapped. But everything changed when I came across a legit recovery agent who actually helped me recover my funds and return them safely to my wallet. It was like getting my life back. If you’ve ever been scammed, please don’t give up. Reach out to Recoveryfundprovider [at] gmail [dot] com WhatsApp at +{44 736-644-5035}.she’s professional, reliable, and truly knows how to get results. I’m genuinely grateful I found her, and I believe you’ll thank me later too.

  • 22.08.25 08:00 wendytaylor015

    My name is Wendy Taylor, I'm from Los Angeles, i want to announce to you Viewer how Capital Crypto Recover help me to restore my Lost Bitcoin, I invested with a Crypto broker without proper research to know what I was hoarding my hard-earned money into scammers, i lost access to my crypto wallet or had your funds stolen? Don’t worry Capital Crypto Recover is here to help you recover your cryptocurrency with cutting-edge technical expertise, With years of experience in the crypto world, Capital Crypto Recover employs the best latest tools and ethical hacking techniques to help you recover lost assets, unlock hacked accounts, Whether it’s a forgotten password, Capital Crypto Recover has the expertise to help you get your crypto back. a security company service that has a 100% success rate in the recovery of crypto assets, i lost wallet and hacked accounts. I provided them the information they requested and they began their investigation. To my surprise, Capital Crypto Recover was able to trace and recover my crypto assets successfully within 24hours. Thank you for your service in helping me recover my $647,734 worth of crypto funds and I highly recommend their recovery services, they are reliable and a trusted company to any individuals looking to recover lost money. Contact email [email protected] OR Telegram @Capitalcryptorecover Call/Text Number +1 (336)390-6684 his contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 22.08.25 08:00 wendytaylor015

    My name is Wendy Taylor, I'm from Los Angeles, i want to announce to you Viewer how Capital Crypto Recover help me to restore my Lost Bitcoin, I invested with a Crypto broker without proper research to know what I was hoarding my hard-earned money into scammers, i lost access to my crypto wallet or had your funds stolen? Don’t worry Capital Crypto Recover is here to help you recover your cryptocurrency with cutting-edge technical expertise, With years of experience in the crypto world, Capital Crypto Recover employs the best latest tools and ethical hacking techniques to help you recover lost assets, unlock hacked accounts, Whether it’s a forgotten password, Capital Crypto Recover has the expertise to help you get your crypto back. a security company service that has a 100% success rate in the recovery of crypto assets, i lost wallet and hacked accounts. I provided them the information they requested and they began their investigation. To my surprise, Capital Crypto Recover was able to trace and recover my crypto assets successfully within 24hours. Thank you for your service in helping me recover my $647,734 worth of crypto funds and I highly recommend their recovery services, they are reliable and a trusted company to any individuals looking to recover lost money. Contact email [email protected] OR Telegram @Capitalcryptorecover Call/Text Number +1 (336)390-6684 his contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 22.08.25 08:00 wendytaylor015

    My name is Wendy Taylor, I'm from Los Angeles, i want to announce to you Viewer how Capital Crypto Recover help me to restore my Lost Bitcoin, I invested with a Crypto broker without proper research to know what I was hoarding my hard-earned money into scammers, i lost access to my crypto wallet or had your funds stolen? Don’t worry Capital Crypto Recover is here to help you recover your cryptocurrency with cutting-edge technical expertise, With years of experience in the crypto world, Capital Crypto Recover employs the best latest tools and ethical hacking techniques to help you recover lost assets, unlock hacked accounts, Whether it’s a forgotten password, Capital Crypto Recover has the expertise to help you get your crypto back. a security company service that has a 100% success rate in the recovery of crypto assets, i lost wallet and hacked accounts. I provided them the information they requested and they began their investigation. To my surprise, Capital Crypto Recover was able to trace and recover my crypto assets successfully within 24hours. Thank you for your service in helping me recover my $647,734 worth of crypto funds and I highly recommend their recovery services, they are reliable and a trusted company to any individuals looking to recover lost money. Contact email [email protected] OR Telegram @Capitalcryptorecover Call/Text Number +1 (336)390-6684 his contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 23.08.25 05:11 ramiroalcazar

    A hacker skillfully impersonated one of our clients’ trusted suppliers and manipulated their finance department into transferring $180,000 worth of Bitcoin. The request appeared authentic, reinforced by falsified documents and meticulously crafted communication that mirrored the supplier’s established style. By the time the company uncovered the deception, the funds had already been funneled through numerous digital wallets. When they appealed to their bank for assistance, they were told recovery was impossible since cryptocurrency transactions are irreversible. The company suddenly faced the prospect of financial ruin. Confronted with this devastating loss, the client sought a specialized solution and turned to Techy Force Cyber Retrieval. From the initial consultation, our team demonstrated that hope remained. Unlike the bank, which dismissed their plea, Techy Force Cyber Retrieval meticulously analyzed every aspect of the fraud and assured the client that our blockchain specialists had the tools to trace and potentially reclaim the stolen assets. Our investigation began with a comprehensive audit of the fraudulent transactions. Using advanced blockchain forensics, Techy Force Cyber Retrieval’s analysts traced the stolen Bitcoin across a labyrinth of wallets and exchanges. Every development was documented with precision, and regular updates were delivered to the client, ensuring transparency and trust. This combination of technical mastery and clear communication provided reassurance during an otherwise overwhelming crisis. After persistent tracking and strategic intervention, Techy Force Cyber Retrieval achieved a remarkable outcome. From the original $180,000 that had been siphoned away, our team successfully recovered the equivalent of $160,000 in USDT. This restitution enabled the company to meet payroll obligations, stabilize its operations, and avert what had seemed like an inevitable collapse. What distinguished Techy Force Cyber Retrieval in the eyes of the client was not only our technical expertise but also our dedication and professionalism. We approached the case with urgency, maintained open communication at every stage, and treated the recovery effort with the utmost seriousness. At a moment when the client felt powerless, Techy Force Cyber Retrieval restored both their assets and their confidence. Now, victims of cryptocurrency fraud do not have to accept total loss. With the right expertise, recovery is achievable. Techy Force Cyber Retrieval stands as proof that even in situations deemed hopeless, we can deliver tangible results and provide businesses and individuals with a genuine second chance. CONSULT TECHY FORCE CYBER RETRIEVAL FOR A GREAT SOLUTION RECOVERY......... WHATSAPP.......... +15617263697 WEBSITE......... https://techyforcecyberretrieval.com

  • 24.08.25 01:05 samshaffer

    Have been on the quest for a way to recover my $195,000 from a forex broker. I was fortunate to meet Darek at ([email protected]) through a friend who was recommended as the best crypto recovery specialist he was the one who assisted me and restore my money back to my atomic wallet. I did reach him at [email protected] and it was an amazing experience. Never knew there was an expert who could trace back crypto until I met this great team. Don’t think twice, get connected with the right personnel now to avoid been fooled again..

  • 24.08.25 06:32 amy

    I have lost all hope to recover my investment in pragmatic trade which I lost $125,000 in the process of investment. I'm here to say thank you to anthony davies for being a man of your word got my funds recovered back plus a bonus within a week of working with [email protected] I hope people make use of this opportunity as well and don't give up on getting your funds back. is also available on Telegram: @anthonydavies01

  • 24.08.25 17:13 marcushenderson624

    Bitcoin Recovery Testimonial After falling victim to a cryptocurrency scam group, I lost $354,000 worth of USDT. I thought all hope was lost from the experience of losing my hard-earned money to scammers. I was devastated and believed there was no way to recover my funds. Fortunately, I started searching for help to recover my stolen funds and I came across a lot of testimonials online about Capital Crypto Recovery, an agent who helps in recovery of lost bitcoin funds, I contacted Capital Crypto Recover Service, and with their expertise, they successfully traced and recovered my stolen assets. Their team was professional, kept me updated throughout the process, and demonstrated a deep understanding of blockchain transactions and recovery protocols. They are trusted and very reliable with a 100% successful rate record Recovery bitcoin, I’m grateful for their help and highly recommend their services to anyone seeking assistance with lost crypto. Contact: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Email: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 24.08.25 17:13 marcushenderson624

    Bitcoin Recovery Testimonial After falling victim to a cryptocurrency scam group, I lost $354,000 worth of USDT. I thought all hope was lost from the experience of losing my hard-earned money to scammers. I was devastated and believed there was no way to recover my funds. Fortunately, I started searching for help to recover my stolen funds and I came across a lot of testimonials online about Capital Crypto Recovery, an agent who helps in recovery of lost bitcoin funds, I contacted Capital Crypto Recover Service, and with their expertise, they successfully traced and recovered my stolen assets. Their team was professional, kept me updated throughout the process, and demonstrated a deep understanding of blockchain transactions and recovery protocols. They are trusted and very reliable with a 100% successful rate record Recovery bitcoin, I’m grateful for their help and highly recommend their services to anyone seeking assistance with lost crypto. Contact: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Email: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 24.08.25 17:13 marcushenderson624

    Bitcoin Recovery Testimonial After falling victim to a cryptocurrency scam group, I lost $354,000 worth of USDT. I thought all hope was lost from the experience of losing my hard-earned money to scammers. I was devastated and believed there was no way to recover my funds. Fortunately, I started searching for help to recover my stolen funds and I came across a lot of testimonials online about Capital Crypto Recovery, an agent who helps in recovery of lost bitcoin funds, I contacted Capital Crypto Recover Service, and with their expertise, they successfully traced and recovered my stolen assets. Their team was professional, kept me updated throughout the process, and demonstrated a deep understanding of blockchain transactions and recovery protocols. They are trusted and very reliable with a 100% successful rate record Recovery bitcoin, I’m grateful for their help and highly recommend their services to anyone seeking assistance with lost crypto. Contact: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Email: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 24.08.25 18:39 nelly young

    Getting your USDC stolen feels like the ground has been pulled out from under you. It’s not just about the money you’ve been violated, and your security is at risk. And since crypto lives on the blockchain, there’s no bank to call and no quick refund. That’s why you need someone who knows exactly what to do. Agent Jasmine Lopez has helped countless victims trace stolen USDC and lock down their accounts before more damage happens. Time matters reach her today at [email protected] WhatsApp at +44 736-644-5035 and take the first step toward getting your funds and peace of mind back.

  • 24.08.25 23:56 marcushenderson624

    Bitcoin Recovery Testimonial After falling victim to a cryptocurrency scam group, I lost $354,000 worth of USDT. I thought all hope was lost from the experience of losing my hard-earned money to scammers. I was devastated and believed there was no way to recover my funds. Fortunately, I started searching for help to recover my stolen funds and I came across a lot of testimonials online about Capital Crypto Recovery, an agent who helps in recovery of lost bitcoin funds, I contacted Capital Crypto Recover Service, and with their expertise, they successfully traced and recovered my stolen assets. Their team was professional, kept me updated throughout the process, and demonstrated a deep understanding of blockchain transactions and recovery protocols. They are trusted and very reliable with a 100% successful rate record Recovery bitcoin, I’m grateful for their help and highly recommend their services to anyone seeking assistance with lost crypto. Contact: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Email: Recoverycapital @fastservice. com Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 24.08.25 23:56 marcushenderson624

    Bitcoin Recovery Testimonial After falling victim to a cryptocurrency scam group, I lost $354,000 worth of USDT. I thought all hope was lost from the experience of losing my hard-earned money to scammers. I was devastated and believed there was no way to recover my funds. Fortunately, I started searching for help to recover my stolen funds and I came across a lot of testimonials online about Capital Crypto Recovery, an agent who helps in recovery of lost bitcoin funds, I contacted Capital Crypto Recover Service, and with their expertise, they successfully traced and recovered my stolen assets. Their team was professional, kept me updated throughout the process, and demonstrated a deep understanding of blockchain transactions and recovery protocols. They are trusted and very reliable with a 100% successful rate record Recovery bitcoin, I’m grateful for their help and highly recommend their services to anyone seeking assistance with lost crypto. Contact: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Email: Recoverycapital @fastservice. com Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 24.08.25 23:56 marcushenderson624

    Bitcoin Recovery Testimonial After falling victim to a cryptocurrency scam group, I lost $354,000 worth of USDT. I thought all hope was lost from the experience of losing my hard-earned money to scammers. I was devastated and believed there was no way to recover my funds. Fortunately, I started searching for help to recover my stolen funds and I came across a lot of testimonials online about Capital Crypto Recovery, an agent who helps in recovery of lost bitcoin funds, I contacted Capital Crypto Recover Service, and with their expertise, they successfully traced and recovered my stolen assets. Their team was professional, kept me updated throughout the process, and demonstrated a deep understanding of blockchain transactions and recovery protocols. They are trusted and very reliable with a 100% successful rate record Recovery bitcoin, I’m grateful for their help and highly recommend their services to anyone seeking assistance with lost crypto. Contact: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Email: Recoverycapital @fastservice. com Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 25.08.25 00:55 vallatjosette

    My Wild Ride: How a Wizard Hilton Cyber Tech Helped Me Recover Lost Bitcoin of 103,000 It all started when I had the misfortune of misplacing the digital wallet containing my substantial cryptocurrency holdings - a staggering 103,000 bitcoins. I had amassed this sizable fortune over the years through strategic investments and careful trading, but in a moment of carelessness, the private keys to my digital wallet had vanished. Panic set in as I grappled with the gravity of my situation - those bitcoins, worth millions at the time, were effectively lost to the ether, inaccessible and seemingly unrecoverable. Just when I had resigned myself to the devastating financial blow, a chance encounter with a self-proclaimed "digital wizard" Wizard Hilton Cyber Tech presented a glimmer of hope. This enigmatic individual, who operated in the shadowy corners of the crypto underworld, claimed to possess the arcane knowledge and skills necessary to retrieve my lost digital wealth. Intrigued and desperate, I put my skepticism aside and entrusted this mysterious wizard with the task. What followed was a wild, suspenseful journey into the depths of blockchain technology and cryptography, as the wizard navigated complex algorithms, exploited vulnerabilities, and pieced together the puzzle of my missing private keys. After days of intense effort, Wizard Hilton Cyber Tech emerged triumphant, having successfully recovered the entirety of my 103,000 bitcoin stash. The sheer relief and elation I felt in that moment was indescribable, as I regained access to my small digital fortune and was able to secure my financial future. This harrowing experience taught me the invaluable lesson of never taking the security of my cryptocurrency holdings for granted, and the importance of always maintaining the utmost diligence when it comes to protecting one's digital wealth. Email: wizardhiltoncybertech ( @ ) gmail (. ) com     OR support ( @ ) wizardhiltoncybertech (.) com WhatsApp number  +18737715701 Thanks.

  • 25.08.25 05:14 samshaffer

    Have been on the quest for a way to recover my $195,000 from a forex broker. I was fortunate to meet Darek at ([email protected]) through a friend who was recommended as the best crypto recovery specialist he was the one who assisted me and restore my money back to my atomic wallet. I did reach him at [email protected] and it was an amazing experience. Never knew there was an expert who could trace back crypto until I met this great team. Don’t think twice, get connected with the right personnel now to avoid been fooled again..

  • 26.08.25 10:14 marcushenderson624

    Bitcoin Recovery Testimonial After falling victim to a cryptocurrency scam group, I lost $354,000 worth of USDT. I thought all hope was lost from the experience of losing my hard-earned money to scammers. I was devastated and believed there was no way to recover my funds. Fortunately, I started searching for help to recover my stolen funds and I came across a lot of testimonials online about Capital Crypto Recovery, an agent who helps in recovery of lost bitcoin funds, I contacted Capital Crypto Recover Service, and with their expertise, they successfully traced and recovered my stolen assets. Their team was professional, kept me updated throughout the process, and demonstrated a deep understanding of blockchain transactions and recovery protocols. They are trusted and very reliable with a 100% successful rate record Recovery bitcoin, I’m grateful for their help and highly recommend their services to anyone seeking assistance with lost crypto. Contact: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Email: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 26.08.25 10:14 marcushenderson624

    Bitcoin Recovery Testimonial After falling victim to a cryptocurrency scam group, I lost $354,000 worth of USDT. I thought all hope was lost from the experience of losing my hard-earned money to scammers. I was devastated and believed there was no way to recover my funds. Fortunately, I started searching for help to recover my stolen funds and I came across a lot of testimonials online about Capital Crypto Recovery, an agent who helps in recovery of lost bitcoin funds, I contacted Capital Crypto Recover Service, and with their expertise, they successfully traced and recovered my stolen assets. Their team was professional, kept me updated throughout the process, and demonstrated a deep understanding of blockchain transactions and recovery protocols. They are trusted and very reliable with a 100% successful rate record Recovery bitcoin, I’m grateful for their help and highly recommend their services to anyone seeking assistance with lost crypto. Contact: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Email: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 26.08.25 10:14 marcushenderson624

    Bitcoin Recovery Testimonial After falling victim to a cryptocurrency scam group, I lost $354,000 worth of USDT. I thought all hope was lost from the experience of losing my hard-earned money to scammers. I was devastated and believed there was no way to recover my funds. Fortunately, I started searching for help to recover my stolen funds and I came across a lot of testimonials online about Capital Crypto Recovery, an agent who helps in recovery of lost bitcoin funds, I contacted Capital Crypto Recover Service, and with their expertise, they successfully traced and recovered my stolen assets. Their team was professional, kept me updated throughout the process, and demonstrated a deep understanding of blockchain transactions and recovery protocols. They are trusted and very reliable with a 100% successful rate record Recovery bitcoin, I’m grateful for their help and highly recommend their services to anyone seeking assistance with lost crypto. Contact: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Email: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 26.08.25 23:59 floridaberna

    It began as an entirely ordinary afternoon when an unexpected message appeared in my Facebook inbox. The sender was a woman I had never encountered. She introduced herself with warmth and courtesy, explaining that her late husband had been deeply invested in Bitcoin before his sudden passing. According to her narrative, he had left behind a vast fortune in cryptocurrency. However, due to intricate international banking regulations and legal entanglements, she was unable to access the funds without external assistance. Her words carried an air of urgency yet also sincerity. She claimed she had come across my profile in a cryptocurrency discussion forum and believed I might be the right person to help. The obstacle she faced was a set of legal fees amounting to $25,000. Once those costs were paid, she assured me the Bitcoin would be unlocked and a generous portion would be mine in gratitude. Against my better instincts, I allowed myself to be persuaded. She provided what appeared to be legitimate documents and even screenshots of supposed legal correspondence. The level of detail made her story feel authentic. After several exchanges, I transferred the $25,000.Almost immediately, her demeanor shifted. Responses became sporadic and vague. Within days, communication ceased entirely. My optimism dissolved into dread as I recognized the truth. I had been deceived. Refusing to surrender, I searched for solutions and discovered TECHY FORCE CYBER RETRIEVAL, a firm specializing in tracing and reclaiming stolen cryptocurrency. Their team outlined a meticulous plan to track the blockchain trail, identify the sequence of wallets involved, and coordinate with local authorities to freeze the assets before they disappeared into the labyrinth of the crypto underworld. Time was critical. In the volatile realm of digital currency, stolen funds can be laundered through countless transactions within hours. Yet TECHY FORCE CYBER RETRIEVAL pursued each lead with relentless precision. They provided regular progress updates and explained how every crypto transaction leaves a digital footprint, no matter how deeply it is buried. Weeks later, the breakthrough came. The fraudulent account was located, the illicit funds were flagged, and to my immense relief, I recovered 100% of my stolen money. This left me with an invaluable lesson. The internet is full of opportunists who prey on trust and desperation. But should you ever fall victim, know that there are experts like TECHY FORCE CYBER RETRIEVAL who can help you reclaim what is rightfully yours.  MAil     support (@) techyforcecyberretrieval (.) com        WhatsApp   +1 561 726 369 7         Website    ht tp s : / / techy force cyber retrieval . com

  • 27.08.25 17:24 wendytaylor015

    My name is Wendy Taylor, I'm from Los Angeles, i want to announce to you Viewer how Capital Crypto Recover help me to restore my Lost Bitcoin, I invested with a Crypto broker without proper research to know what I was hoarding my hard-earned money into scammers, i lost access to my crypto wallet or had your funds stolen? Don’t worry Capital Crypto Recover is here to help you recover your cryptocurrency with cutting-edge technical expertise, With years of experience in the crypto world, Capital Crypto Recover employs the best latest tools and ethical hacking techniques to help you recover lost assets, unlock hacked accounts, Whether it’s a forgotten password, Capital Crypto Recover has the expertise to help you get your crypto back. a security company service that has a 100% success rate in the recovery of crypto assets, i lost wallet and hacked accounts. I provided them the information they requested and they began their investigation. To my surprise, Capital Crypto Recover was able to trace and recover my crypto assets successfully within 24hours. Thank you for your service in helping me recover my $647,734 worth of crypto funds and I highly recommend their recovery services, they are reliable and a trusted company to any individuals looking to recover lost money. Contact email [email protected] OR Telegram @Capitalcryptorecover Call/Text Number +1 (336)390-6684 his contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 27.08.25 17:24 wendytaylor015

    My name is Wendy Taylor, I'm from Los Angeles, i want to announce to you Viewer how Capital Crypto Recover help me to restore my Lost Bitcoin, I invested with a Crypto broker without proper research to know what I was hoarding my hard-earned money into scammers, i lost access to my crypto wallet or had your funds stolen? Don’t worry Capital Crypto Recover is here to help you recover your cryptocurrency with cutting-edge technical expertise, With years of experience in the crypto world, Capital Crypto Recover employs the best latest tools and ethical hacking techniques to help you recover lost assets, unlock hacked accounts, Whether it’s a forgotten password, Capital Crypto Recover has the expertise to help you get your crypto back. a security company service that has a 100% success rate in the recovery of crypto assets, i lost wallet and hacked accounts. I provided them the information they requested and they began their investigation. To my surprise, Capital Crypto Recover was able to trace and recover my crypto assets successfully within 24hours. Thank you for your service in helping me recover my $647,734 worth of crypto funds and I highly recommend their recovery services, they are reliable and a trusted company to any individuals looking to recover lost money. Contact email [email protected] OR Telegram @Capitalcryptorecover Call/Text Number +1 (336)390-6684 his contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 27.08.25 17:24 wendytaylor015

    My name is Wendy Taylor, I'm from Los Angeles, i want to announce to you Viewer how Capital Crypto Recover help me to restore my Lost Bitcoin, I invested with a Crypto broker without proper research to know what I was hoarding my hard-earned money into scammers, i lost access to my crypto wallet or had your funds stolen? Don’t worry Capital Crypto Recover is here to help you recover your cryptocurrency with cutting-edge technical expertise, With years of experience in the crypto world, Capital Crypto Recover employs the best latest tools and ethical hacking techniques to help you recover lost assets, unlock hacked accounts, Whether it’s a forgotten password, Capital Crypto Recover has the expertise to help you get your crypto back. a security company service that has a 100% success rate in the recovery of crypto assets, i lost wallet and hacked accounts. I provided them the information they requested and they began their investigation. To my surprise, Capital Crypto Recover was able to trace and recover my crypto assets successfully within 24hours. Thank you for your service in helping me recover my $647,734 worth of crypto funds and I highly recommend their recovery services, they are reliable and a trusted company to any individuals looking to recover lost money. Contact email [email protected] OR Telegram @Capitalcryptorecover Call/Text Number +1 (336)390-6684 his contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 27.08.25 20:27 maximeden68

    Top Crypto Bitcoin Wallet Recovery Services Contact iFORCE HACKER RECOVERY I wish to express my sincere gratitude to iForce Hacker Recovery for their exceptional service in recovering my lost bitcoin. Their expertise and professionalism were evident throughout the process, providing me with reassurance during a challenging time. The team's dedication to client satisfaction and their effective strategies were instrumental in resolving my issue. I highly recommend their services to anyone facing similar challenges. Thank you, iForce Hacker Recovery. Contact iForce Hacker Recovery: Email: iforcehk @ consultant. com WhatsApp: +1 (240) 803-3706 Website: iforcehackers. com/

  • 27.08.25 21:21 dbeverly

    One morning I received an email that looked like it came from my cryptocurrency exchange, OKX. The subject warned: Suspicious activity detected and urged me to log in via a link. The message seemed authentic — perfect logos, formatting, even the sender’s address. My pulse spiked and I clicked. The site that opened was indistinguishable from OKX’s homepage. Convinced it was real, I entered my username and password. Moments later, dread set in: my account was emptied. $12,500 in Bitcoin was gone. I called OKX, hoping for a reversal, but the representative explained transfers were irreversible. Desperate, I turned to GRAYWARE TECH SERVICE. From the first call, their professionalism was clear. They carefully examined my case, tracing the stolen Bitcoin across the blockchain. They identified the destination wallets and mapped every move the hackers made. Their regular updates turned fear into cautious optimism. Acting swiftly, GRAYWARE coordinated with exchanges along the path of the stolen funds, freezing assets before they could vanish. Their vigilance and expertise kept me informed and reassured. After two tense weeks, the breakthrough came: my full $12,500 was recovered and returned to my OKX account. What began as a nightmare became a success thanks to GRAYWARE TECH SERVICE’s relentless determination. They didn’t just recover my money — they restored my confidence in digital security. Contact: WhatsApp: +1 858 275 9508 Website: https://graywaretechservice.com Email: [email protected]

  • 28.08.25 10:08 wendytaylor015

    My name is Wendy Taylor, I'm from Los Angeles, i want to announce to you Viewer how Capital Crypto Recover help me to restore my Lost Bitcoin, I invested with a Crypto broker without proper research to know what I was hoarding my hard-earned money into scammers, i lost access to my crypto wallet or had your funds stolen? Don’t worry Capital Crypto Recover is here to help you recover your cryptocurrency with cutting-edge technical expertise, With years of experience in the crypto world, Capital Crypto Recover employs the best latest tools and ethical hacking techniques to help you recover lost assets, unlock hacked accounts, Whether it’s a forgotten password, Capital Crypto Recover has the expertise to help you get your crypto back. a security company service that has a 100% success rate in the recovery of crypto assets, i lost wallet and hacked accounts. I provided them the information they requested and they began their investigation. To my surprise, Capital Crypto Recover was able to trace and recover my crypto assets successfully within 24hours. Thank you for your service in helping me recover my $647,734 worth of crypto funds and I highly recommend their recovery services, they are reliable and a trusted company to any individuals looking to recover lost money. Contact email [email protected] OR Telegram @Capitalcryptorecover Call/Text Number +1 (336)390-6684 his contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 28.08.25 10:08 wendytaylor015

    My name is Wendy Taylor, I'm from Los Angeles, i want to announce to you Viewer how Capital Crypto Recover help me to restore my Lost Bitcoin, I invested with a Crypto broker without proper research to know what I was hoarding my hard-earned money into scammers, i lost access to my crypto wallet or had your funds stolen? Don’t worry Capital Crypto Recover is here to help you recover your cryptocurrency with cutting-edge technical expertise, With years of experience in the crypto world, Capital Crypto Recover employs the best latest tools and ethical hacking techniques to help you recover lost assets, unlock hacked accounts, Whether it’s a forgotten password, Capital Crypto Recover has the expertise to help you get your crypto back. a security company service that has a 100% success rate in the recovery of crypto assets, i lost wallet and hacked accounts. I provided them the information they requested and they began their investigation. To my surprise, Capital Crypto Recover was able to trace and recover my crypto assets successfully within 24hours. Thank you for your service in helping me recover my $647,734 worth of crypto funds and I highly recommend their recovery services, they are reliable and a trusted company to any individuals looking to recover lost money. Contact email [email protected] OR Telegram @Capitalcryptorecover Call/Text Number +1 (336)390-6684 his contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 28.08.25 10:08 wendytaylor015

    My name is Wendy Taylor, I'm from Los Angeles, i want to announce to you Viewer how Capital Crypto Recover help me to restore my Lost Bitcoin, I invested with a Crypto broker without proper research to know what I was hoarding my hard-earned money into scammers, i lost access to my crypto wallet or had your funds stolen? Don’t worry Capital Crypto Recover is here to help you recover your cryptocurrency with cutting-edge technical expertise, With years of experience in the crypto world, Capital Crypto Recover employs the best latest tools and ethical hacking techniques to help you recover lost assets, unlock hacked accounts, Whether it’s a forgotten password, Capital Crypto Recover has the expertise to help you get your crypto back. a security company service that has a 100% success rate in the recovery of crypto assets, i lost wallet and hacked accounts. I provided them the information they requested and they began their investigation. To my surprise, Capital Crypto Recover was able to trace and recover my crypto assets successfully within 24hours. Thank you for your service in helping me recover my $647,734 worth of crypto funds and I highly recommend their recovery services, they are reliable and a trusted company to any individuals looking to recover lost money. Contact email [email protected] OR Telegram @Capitalcryptorecover Call/Text Number +1 (336)390-6684 his contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 28.08.25 13:50 Maureensels

    STEPS TO RECOVERING MONEY FROM A CRYPTO INVESTMENT SCAM CONTACT WIZARD LARRY RECOVERY EXPERTS Are you trying to find a means to get your other cryptocurrency, including Bitcoin, back from scammers? Stop searching! Call or text +1 (616) - (292) - (4789) or send a mail to (WIZARDLARRY(@)MAIL. C OM) is the greatest Scammed Crypto Recovery Agency I've seen on Google Earth. I'm delighted I made the brave decision to get in touch with them. In a matter of hours, all of the cryptocurrency that I had stolen was returned to my Coin Base wallet. For assistance with their strategies, I will advise you all to get in touch with their customer service. You will thank me later. Website... Wizardlarryrecovery. com Email [email protected] o m

  • 28.08.25 13:50 Maureensels

    STEPS TO RECOVERING MONEY FROM A CRYPTO INVESTMENT SCAM CONTACT WIZARD LARRY RECOVERY EXPERTS Are you trying to find a means to get your other cryptocurrency, including Bitcoin, back from scammers? Stop searching! Call or text +1 (616) - (292) - (4789) or send a mail to (WIZARDLARRY(@)MAIL. C OM) is the greatest Scammed Crypto Recovery Agency I've seen on Google Earth. I'm delighted I made the brave decision to get in touch with them. In a matter of hours, all of the cryptocurrency that I had stolen was returned to my Coin Base wallet. For assistance with their strategies, I will advise you all to get in touch with their customer service. You will thank me later. Website... Wizardlarryrecovery. com Email [email protected] o m

  • 28.08.25 16:31 wendytaylor015

    My name is Wendy Taylor, I'm from Los Angeles, i want to announce to you Viewer how Capital Crypto Recover help me to restore my Lost Bitcoin, I invested with a Crypto broker without proper research to know what I was hoarding my hard-earned money into scammers, i lost access to my crypto wallet or had your funds stolen? Don’t worry Capital Crypto Recover is here to help you recover your cryptocurrency with cutting-edge technical expertise, With years of experience in the crypto world, Capital Crypto Recover employs the best latest tools and ethical hacking techniques to help you recover lost assets, unlock hacked accounts, Whether it’s a forgotten password, Capital Crypto Recover has the expertise to help you get your crypto back. a security company service that has a 100% success rate in the recovery of crypto assets, i lost wallet and hacked accounts. I provided them the information they requested and they began their investigation. To my surprise, Capital Crypto Recover was able to trace and recover my crypto assets successfully within 24hours. Thank you for your service in helping me recover my $647,734 worth of crypto funds and I highly recommend their recovery services, they are reliable and a trusted company to any individuals looking to recover lost money. Contact email [email protected] OR Telegram @Capitalcryptorecover Call/Text Number +1 (336)390-6684 his contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 28.08.25 16:31 wendytaylor015

    My name is Wendy Taylor, I'm from Los Angeles, i want to announce to you Viewer how Capital Crypto Recover help me to restore my Lost Bitcoin, I invested with a Crypto broker without proper research to know what I was hoarding my hard-earned money into scammers, i lost access to my crypto wallet or had your funds stolen? Don’t worry Capital Crypto Recover is here to help you recover your cryptocurrency with cutting-edge technical expertise, With years of experience in the crypto world, Capital Crypto Recover employs the best latest tools and ethical hacking techniques to help you recover lost assets, unlock hacked accounts, Whether it’s a forgotten password, Capital Crypto Recover has the expertise to help you get your crypto back. a security company service that has a 100% success rate in the recovery of crypto assets, i lost wallet and hacked accounts. I provided them the information they requested and they began their investigation. To my surprise, Capital Crypto Recover was able to trace and recover my crypto assets successfully within 24hours. Thank you for your service in helping me recover my $647,734 worth of crypto funds and I highly recommend their recovery services, they are reliable and a trusted company to any individuals looking to recover lost money. Contact email [email protected] OR Telegram @Capitalcryptorecover Call/Text Number +1 (336)390-6684 his contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 28.08.25 19:17 leticiazavala

    Earlier this year, I found what looked like an unbeatable offer on first-class airline tickets through an online travel agency. They advertised heavily discounted fares for international travel for only 0.11 BTC, which was worth around 7300 USD at the time. The only condition was that payment had to be made in Bitcoin. The website looked professional, had convincing reviews, and even offered live chat support. After some hesitation, I decided to go ahead with the booking. Two days later, I received an email from the airline saying my reservation had been canceled. I went back to the agency’s website only to find it had disappeared. Their customer support was gone, and their social media accounts had vanished. That was when I realized I had been scammed. I thought my Bitcoin was lost for good. Unlike a credit card transaction, there was no way to reverse it. A friend recommended a company called Techy Force Cyber Retrieval that specializes in tracking and recovering stolen crypto. I reached out not expecting much. To my surprise, their team responded quickly. I sent them the transaction details, and they immediately began tracing the movement of the 0.11 BTC. They followed the funds through multiple wallets and discovered the Bitcoin had ended up at a large exchange known for cooperating in fraud investigations. Techy Force Cyber Retrieval worked fast. They submitted the evidence to the exchange and requested that the wallet be frozen. Over the next few weeks, they handled all communication and submitted the necessary documentation. Just under three weeks later, the exchange approved the release of my funds. I was stunned when I saw the 0.11 BTC back in my wallet. I had lost hope, but Techy Force Cyber Retrieval delivered. They were professional, honest, and transparent throughout the entire process. If you have been scammed in a crypto deal, do not assume the money is gone forever. With the right help, it is possible to trace and recover stolen assets. Techy Force Cyber Retrieval gave me a second chance, and I would not hesitate to recommend them to anyone who finds themselves in a similar situation. FOR SERVICE HELP Email: [email protected] [email protected] CALL +15617263697

  • 29.08.25 09:20 marcushenderson624

    Bitcoin Recovery Testimonial After falling victim to a cryptocurrency scam group, I lost $354,000 worth of USDT. I thought all hope was lost from the experience of losing my hard-earned money to scammers. I was devastated and believed there was no way to recover my funds. Fortunately, I started searching for help to recover my stolen funds and I came across a lot of testimonials online about Capital Crypto Recovery, an agent who helps in recovery of lost bitcoin funds, I contacted Capital Crypto Recover Service, and with their expertise, they successfully traced and recovered my stolen assets. Their team was professional, kept me updated throughout the process, and demonstrated a deep understanding of blockchain transactions and recovery protocols. They are trusted and very reliable with a 100% successful rate record Recovery bitcoin, I’m grateful for their help and highly recommend their services to anyone seeking assistance with lost crypto. Contact: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Email: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 29.08.25 09:20 marcushenderson624

    Bitcoin Recovery Testimonial After falling victim to a cryptocurrency scam group, I lost $354,000 worth of USDT. I thought all hope was lost from the experience of losing my hard-earned money to scammers. I was devastated and believed there was no way to recover my funds. Fortunately, I started searching for help to recover my stolen funds and I came across a lot of testimonials online about Capital Crypto Recovery, an agent who helps in recovery of lost bitcoin funds, I contacted Capital Crypto Recover Service, and with their expertise, they successfully traced and recovered my stolen assets. Their team was professional, kept me updated throughout the process, and demonstrated a deep understanding of blockchain transactions and recovery protocols. They are trusted and very reliable with a 100% successful rate record Recovery bitcoin, I’m grateful for their help and highly recommend their services to anyone seeking assistance with lost crypto. Contact: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Email: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 29.08.25 09:20 marcushenderson624

    Bitcoin Recovery Testimonial After falling victim to a cryptocurrency scam group, I lost $354,000 worth of USDT. I thought all hope was lost from the experience of losing my hard-earned money to scammers. I was devastated and believed there was no way to recover my funds. Fortunately, I started searching for help to recover my stolen funds and I came across a lot of testimonials online about Capital Crypto Recovery, an agent who helps in recovery of lost bitcoin funds, I contacted Capital Crypto Recover Service, and with their expertise, they successfully traced and recovered my stolen assets. Their team was professional, kept me updated throughout the process, and demonstrated a deep understanding of blockchain transactions and recovery protocols. They are trusted and very reliable with a 100% successful rate record Recovery bitcoin, I’m grateful for their help and highly recommend their services to anyone seeking assistance with lost crypto. Contact: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Email: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 30.08.25 01:40 Moises Velez

    In a single transaction, my Coinbase wallet was destroyed. I was at a loss as to what to do and was unable to contact Coinbase support Teams. This transaction resulted in the complete depletion of my Ethereum and Bitcoin. I was not the individual in question, and I required assistance after losing approximately $821,000. I visited the police station to submit a report, but they were also unable to provide any assistance. A gentleman approached me at the stiction and presented me with a note that included an email address (recoveryhacker101[at]gmail[dot]com). He informed me that this recovery company could be of assistance. Upon contacting them and submitting all necessary documentation within 72 hours, I received a letter stating that she had successfully recovered all of my funds and identified the individuals responsible for the criminal activity. I would like to inform everyone that it is feasible to retrieve their funds provided that they correspond with the appropriate individual and adhere to the prescribed procedures.

  • 31.08.25 14:19 jack118

    In 2018, Marie assisted in the recovery of stolen bitcoin. The service was excellent. The coins were stolen by hackers, creating a nightmare. Marie was suggested by a friend. Contact her at [email protected] and @MARIE_CONSULTANCY on Telegram or WhatsApp at +1 7127594675. She was responsible for recovering Bitcoin. The trading goes on.

  • 31.08.25 23:14 robertalfred175

    CRYPTO SCAM RECOVERY SUCCESSFUL – A TESTIMONIAL OF LOST PASSWORD TO YOUR DIGITAL WALLET BACK. My name is Robert Alfred, Am from Australia. I’m sharing my experience in the hope that it helps others who have been victims of crypto scams. A few months ago, I fell victim to a fraudulent crypto investment scheme linked to a broker company. I had invested heavily during a time when Bitcoin prices were rising, thinking it was a good opportunity. Unfortunately, I was scammed out of $120,000 AUD and the broker denied me access to my digital wallet and assets. It was a devastating experience that caused many sleepless nights. Crypto scams are increasingly common and often involve fake trading platforms, phishing attacks, and misleading investment opportunities. In my desperation, a friend from the crypto community recommended Capital Crypto Recovery Service, known for helping victims recover lost or stolen funds. After doing some research and reading multiple positive reviews, I reached out to Capital Crypto Recovery. I provided all the necessary information—wallet addresses, transaction history, and communication logs. Their expert team responded immediately and began investigating. Using advanced blockchain tracking techniques, they were able to trace the stolen Dogecoin, identify the scammer’s wallet, and coordinate with relevant authorities to freeze the funds before they could be moved. Incredibly, within 24 hours, Capital Crypto Recovery successfully recovered the majority of my stolen crypto assets. I was beyond relieved and truly grateful. Their professionalism, transparency, and constant communication throughout the process gave me hope during a very difficult time. If you’ve been a victim of a crypto scam, I highly recommend them with full confidence contacting: Email: [email protected] Telegram: @Capitalcryptorecover Contact: [email protected] Call/Text: +1 (336) 390-6684 Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 31.08.25 23:14 robertalfred175

    CRYPTO SCAM RECOVERY SUCCESSFUL – A TESTIMONIAL OF LOST PASSWORD TO YOUR DIGITAL WALLET BACK. My name is Robert Alfred, Am from Australia. I’m sharing my experience in the hope that it helps others who have been victims of crypto scams. A few months ago, I fell victim to a fraudulent crypto investment scheme linked to a broker company. I had invested heavily during a time when Bitcoin prices were rising, thinking it was a good opportunity. Unfortunately, I was scammed out of $120,000 AUD and the broker denied me access to my digital wallet and assets. It was a devastating experience that caused many sleepless nights. Crypto scams are increasingly common and often involve fake trading platforms, phishing attacks, and misleading investment opportunities. In my desperation, a friend from the crypto community recommended Capital Crypto Recovery Service, known for helping victims recover lost or stolen funds. After doing some research and reading multiple positive reviews, I reached out to Capital Crypto Recovery. I provided all the necessary information—wallet addresses, transaction history, and communication logs. Their expert team responded immediately and began investigating. Using advanced blockchain tracking techniques, they were able to trace the stolen Dogecoin, identify the scammer’s wallet, and coordinate with relevant authorities to freeze the funds before they could be moved. Incredibly, within 24 hours, Capital Crypto Recovery successfully recovered the majority of my stolen crypto assets. I was beyond relieved and truly grateful. Their professionalism, transparency, and constant communication throughout the process gave me hope during a very difficult time. If you’ve been a victim of a crypto scam, I highly recommend them with full confidence contacting: Email: [email protected] Telegram: @Capitalcryptorecover Contact: [email protected] Call/Text: +1 (336) 390-6684 Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 31.08.25 23:14 robertalfred175

    CRYPTO SCAM RECOVERY SUCCESSFUL – A TESTIMONIAL OF LOST PASSWORD TO YOUR DIGITAL WALLET BACK. My name is Robert Alfred, Am from Australia. I’m sharing my experience in the hope that it helps others who have been victims of crypto scams. A few months ago, I fell victim to a fraudulent crypto investment scheme linked to a broker company. I had invested heavily during a time when Bitcoin prices were rising, thinking it was a good opportunity. Unfortunately, I was scammed out of $120,000 AUD and the broker denied me access to my digital wallet and assets. It was a devastating experience that caused many sleepless nights. Crypto scams are increasingly common and often involve fake trading platforms, phishing attacks, and misleading investment opportunities. In my desperation, a friend from the crypto community recommended Capital Crypto Recovery Service, known for helping victims recover lost or stolen funds. After doing some research and reading multiple positive reviews, I reached out to Capital Crypto Recovery. I provided all the necessary information—wallet addresses, transaction history, and communication logs. Their expert team responded immediately and began investigating. Using advanced blockchain tracking techniques, they were able to trace the stolen Dogecoin, identify the scammer’s wallet, and coordinate with relevant authorities to freeze the funds before they could be moved. Incredibly, within 24 hours, Capital Crypto Recovery successfully recovered the majority of my stolen crypto assets. I was beyond relieved and truly grateful. Their professionalism, transparency, and constant communication throughout the process gave me hope during a very difficult time. If you’ve been a victim of a crypto scam, I highly recommend them with full confidence contacting: Email: [email protected] Telegram: @Capitalcryptorecover Contact: [email protected] Call/Text: +1 (336) 390-6684 Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 01.09.25 04:55 Maurice Cherry

    Through Hackrontech recovery, Bitcoin scam victims can retrieve their money. I recommed hackrontech to anyone who has fallen victim to a scam and has been looking for methods and techniques to recover their lost cryptocurrency or wallets. Hackrontech Recovery is a reliable cryptocurrency recovery firm that assists victims in recovering their stolen cryptocurrency and offers secure solutions to protect your wallets from online scammers. I must admit that I was deeply melancholy and had given up on life until these experts could restore my 4.1 BTC to my wallet. If you’ve lost your cryptocurrency and you are helpless about it, contact hackrontech Recovery to get your money back. Email : hackrontech @gmail.com One key aspect that makes hackrontech Recovery stand out is its focus on providing secure solutions to protect wallets from online scammers. It’s not just about recovering lost funds; it’s also about preventing future incidents and ensuring that clients’ digital assets are safeguarded against potential threats. This proactive approach demonstrates their commitment to the long-term financial security of their clients. Furthermore, for individuals who have lost their cryptocurrency and are feeling helpless, reaching out to hackrontech Recovery could be a turning point in their situation. The reassurance that they are legitimate for seeking help and recovering lost funds can provide much-needed relief and a sense of empowerment. hackrontech Recovery as a reliable cryptocurrency recovery firm is certainly well-founded. Their ability to assist scam victims in recovering stolen cryptocurrency, their focus on providing secure solutions, and their commitment to supporting clients through challenging situations make them a valuable resource for individuals navigating the complex world of digital currencies. If you or someone you know has fallen victim to a cryptocurrency scam, contacting hackrontech Recovery could be the first step towards reclaiming lost funds and regaining peace of mind. Contact info; email: hackrontech @gmail.com

  • 01.09.25 11:06 robertalfred175

    CRYPTO SCAM RECOVERY SUCCESSFUL – A TESTIMONIAL OF LOST PASSWORD TO YOUR DIGITAL WALLET BACK. My name is Robert Alfred, Am from Australia. I’m sharing my experience in the hope that it helps others who have been victims of crypto scams. A few months ago, I fell victim to a fraudulent crypto investment scheme linked to a broker company. I had invested heavily during a time when Bitcoin prices were rising, thinking it was a good opportunity. Unfortunately, I was scammed out of $120,000 AUD and the broker denied me access to my digital wallet and assets. It was a devastating experience that caused many sleepless nights. Crypto scams are increasingly common and often involve fake trading platforms, phishing attacks, and misleading investment opportunities. In my desperation, a friend from the crypto community recommended Capital Crypto Recovery Service, known for helping victims recover lost or stolen funds. After doing some research and reading multiple positive reviews, I reached out to Capital Crypto Recovery. I provided all the necessary information—wallet addresses, transaction history, and communication logs. Their expert team responded immediately and began investigating. Using advanced blockchain tracking techniques, they were able to trace the stolen Dogecoin, identify the scammer’s wallet, and coordinate with relevant authorities to freeze the funds before they could be moved. Incredibly, within 24 hours, Capital Crypto Recovery successfully recovered the majority of my stolen crypto assets. I was beyond relieved and truly grateful. Their professionalism, transparency, and constant communication throughout the process gave me hope during a very difficult time. If you’ve been a victim of a crypto scam, I highly recommend them with full confidence contacting: Email: [email protected] Telegram: @Capitalcryptorecover Contact: [email protected] Call/Text: +1 (336) 390-6684 Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 01.09.25 11:07 robertalfred175

    CRYPTO SCAM RECOVERY SUCCESSFUL – A TESTIMONIAL OF LOST PASSWORD TO YOUR DIGITAL WALLET BACK. My name is Robert Alfred, Am from Australia. I’m sharing my experience in the hope that it helps others who have been victims of crypto scams. A few months ago, I fell victim to a fraudulent crypto investment scheme linked to a broker company. I had invested heavily during a time when Bitcoin prices were rising, thinking it was a good opportunity. Unfortunately, I was scammed out of $120,000 AUD and the broker denied me access to my digital wallet and assets. It was a devastating experience that caused many sleepless nights. Crypto scams are increasingly common and often involve fake trading platforms, phishing attacks, and misleading investment opportunities. In my desperation, a friend from the crypto community recommended Capital Crypto Recovery Service, known for helping victims recover lost or stolen funds. After doing some research and reading multiple positive reviews, I reached out to Capital Crypto Recovery. I provided all the necessary information—wallet addresses, transaction history, and communication logs. Their expert team responded immediately and began investigating. Using advanced blockchain tracking techniques, they were able to trace the stolen Dogecoin, identify the scammer’s wallet, and coordinate with relevant authorities to freeze the funds before they could be moved. Incredibly, within 24 hours, Capital Crypto Recovery successfully recovered the majority of my stolen crypto assets. I was beyond relieved and truly grateful. Their professionalism, transparency, and constant communication throughout the process gave me hope during a very difficult time. If you’ve been a victim of a crypto scam, I highly recommend them with full confidence contacting: Email: [email protected] Telegram: @Capitalcryptorecover Contact: [email protected] Call/Text: +1 (336) 390-6684 Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 01.09.25 16:41 Anitastar

    Wizard Hilton Cyber Tech's strategic approach to Bitcoin recovery represents a mutually beneficial collaboration that offers valuable advantages for all involved. At the core of this innovative partnership is a shared commitment to leveraging cutting-edge technology and expertise to tackle the increasingly complex challenges of cryptocurrency theft and loss. By combining Wizard Hilton's world-class cybersecurity capabilities with the deep industry insights and recovery methodologies of Cyber Tech, this alliance is poised to revolutionize the way individuals and organizations safeguard their digital assets. Through a meticulous, multi-layered process, the team meticulously analyzes each case, employing advanced forensic techniques to trace the flow of stolen funds and identify potential recovery avenues. This rigorous approach not only maximizes the chances of successful Bitcoin retrieval, but also provides invaluable intelligence to enhance future security measures and prevention strategies. Importantly, the collaboration is built on a foundation of trust, transparency, and a genuine concern for the well-being of clients, ensuring that the recovery process is handled with the utmost care and discretion. As the cryptocurrency landscape continues to evolve, this strategic alliance between Wizard Hilton Cyber Tech stands as a shining example of how industry leaders can come together to safeguard digital assets, protect victims of cybercrime, and pave the way for a more secure and resilient cryptocurrency ecosystem. Email : wizardhiltoncybertech ( @ ) gmail (. ) com     OR support ( @ ) wizardhiltoncybertech (.) com WhatsApp number  +18737715701 Thanks.

  • 01.09.25 17:03 WILLER GOODY

    Don’t be misled by the countless stories you come across online many of them are unreliable and can easily steer you in the wrong direction. I personally tried several so-called recovery services, only to end up frustrated and disappointed every single time. But everything changed when I finally connected with a true tech professional who genuinely knows what they’re doing. Instead of wasting time and energy with unskilled hackers who make empty promises, it’s far better to work with a proven expert who can actually recover your stolen or lost cryptocurrency, including Bitcoins. [email protected] is, without a doubt, one of the most trustworthy and skilled blockchain specialists I’ve ever come across. If you’ve lost money to scammers, don’t give up. Reach out to their email today and take the first step toward getting your coins back. You can also contact them at +44 736-644-5035.

  • 02.09.25 23:12 [email protected]

    Sylvester Bryant has recovered over £151,000 in lost cryptocurrency. You can reach him for assistance via email at Yt7cracker@gmail. com. For direct communication, Sylvester Bryant is available on WhatsApp at +1 512 577 7957. This service proved invaluable when other recovery methods had failed. The money was recovered quickly and effectively. My financial situation was dire prior to this. This recovery has restored my financial stability. This reliable support was crucial during a difficult time. Mr. Bryant's skill in retrieving lost funds is remarkable.

  • 03.09.25 07:17 Fabian3

    Scammers have ruined the forex trading market, they have deceived many people with their fake promises on high returns. I learnt my lesson the hard way. I only pity people who still consider investing with them. Please try and make your researches, you will definitely come across better and reliable forex trading agencies that would help you yield profit and not ripping off your money. Also, if your money has been ripped-off by these scammers, you can report to a regulated crypto investigative unit who make use of software to get money back. They helped me recover my scammed funds back to me If you encounter with some issue make sure you contact ([email protected]) they're recovery expert and a very effective and reliable .

  • 04.09.25 02:11 marcushenderson624

    Bitcoin Recovery Testimonial After falling victim to a cryptocurrency scam group, I lost $354,000 worth of USDT. I thought all hope was lost from the experience of losing my hard-earned money to scammers. I was devastated and believed there was no way to recover my funds. Fortunately, I started searching for help to recover my stolen funds and I came across a lot of testimonials online about Capital Crypto Recovery, an agent who helps in recovery of lost bitcoin funds, I contacted Capital Crypto Recover Service, and with their expertise, they successfully traced and recovered my stolen assets. Their team was professional, kept me updated throughout the process, and demonstrated a deep understanding of blockchain transactions and recovery protocols. They are trusted and very reliable with a 100% successful rate record Recovery bitcoin, I’m grateful for their help and highly recommend their services to anyone seeking assistance with lost crypto. Contact: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Email: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 04.09.25 02:11 marcushenderson624

    Bitcoin Recovery Testimonial After falling victim to a cryptocurrency scam group, I lost $354,000 worth of USDT. I thought all hope was lost from the experience of losing my hard-earned money to scammers. I was devastated and believed there was no way to recover my funds. Fortunately, I started searching for help to recover my stolen funds and I came across a lot of testimonials online about Capital Crypto Recovery, an agent who helps in recovery of lost bitcoin funds, I contacted Capital Crypto Recover Service, and with their expertise, they successfully traced and recovered my stolen assets. Their team was professional, kept me updated throughout the process, and demonstrated a deep understanding of blockchain transactions and recovery protocols. They are trusted and very reliable with a 100% successful rate record Recovery bitcoin, I’m grateful for their help and highly recommend their services to anyone seeking assistance with lost crypto. Contact: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Email: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 04.09.25 02:45 marcushenderson624

    Bitcoin Recovery Testimonial After falling victim to a cryptocurrency scam group, I lost $354,000 worth of USDT. I thought all hope was lost from the experience of losing my hard-earned money to scammers. I was devastated and believed there was no way to recover my funds. Fortunately, I started searching for help to recover my stolen funds and I came across a lot of testimonials online about Capital Crypto Recovery, an agent who helps in recovery of lost bitcoin funds, I contacted Capital Crypto Recover Service, and with their expertise, they successfully traced and recovered my stolen assets. Their team was professional, kept me updated throughout the process, and demonstrated a deep understanding of blockchain transactions and recovery protocols. They are trusted and very reliable with a 100% successful rate record Recovery bitcoin, I’m grateful for their help and highly recommend their services to anyone seeking assistance with lost crypto. Contact: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Email: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 04.09.25 16:24 Melbourne

    Sylvester Bryant has recovered over £151,000 in lost cryptocurrency. You can reach him for assistance via email at Yt7cracker@gmail. com. For direct communication, Sylvester Bryant is available on WhatsApp at +1 512 577 7957. This service proved invaluable when other recovery methods had failed. The money was recovered quickly and effectively. My financial situation was dire prior to this. This recovery has restored my financial stability. This reliable support was crucial during a difficult time. Mr. Bryant's skill in retrieving lost funds is remarkable.

  • 04.09.25 18:11 WILLER GOODY

    Don't fall for fake recovery scams online. Many people promise to help you get back lost crypto. They often just make excuses or don't deliver. This leads to more disappointment and lost hope. After many bad experiences, I finally found a real expert. They were professional and knew what they were doing. This person actually recovered my stolen coins. They gave me peace of mind back. If you lost crypto, contact them at [email protected] WhatsApp at +44 736-644-5035. Don't waste your time with others. They can help you get your money back.

  • 05.09.25 08:14 Amostampari

    How can I Recover My Lost Btc, Usdt - Wizard Larry Recovery Experts. Get Your Stolen Crypto Coins Back By Hiring A Hacker || I Can't Get Into My USDT? Account, It Seems Like I Was Hacked || Do You Need A Bitcoin Recovery Expert? Getting Lost, Stolen Crypto, or Hacked? How can I retrieve cryptocurrency from a con artist? Do I need a hacker to get my money back? Getting in dealing with a reputable business like Wizard Larry Recovery Experts could help you get your money back if you can't access your USDT account or have lost Bitcoin or NFT as a result of hacking or scams. For additional support and direction on your particular circumstance, it is advised that you get in touch with them at the address below ADDRESS Website... https://larrywizard43.wixsite.com/wizardlarry OR www.wizardlarryrecovery. com Email... wizardlarry@mail. com WhtsApp or call,.. +447 (311) 146 749

  • 05.09.25 15:39 micheal1219

    Losing USDT can be upsetting. This stablecoin usually stays close to the dollar's value. However, mistakes happen. Bugs in code, scams, or sending funds to the wrong place can cause losses. It might feel like the money is gone forever. But often, recovery is possible. Contact Marie at [email protected]. You can also reach her on Telegram at @marie_consultancy or WhatsApp at +17127594675.

  • 06.09.25 09:21 Young Felix

    [email protected] will Help you Recovery your Scammed Funds.

  • 06.09.25 09:22 Young Felix

    [email protected] will Help you Recovery your Scammed Funds. I just had to share my experience with Intel Fox Recovery Services. Initially, I was unsure if it would be possible to recover my BTC, however, with their expertise and professionalism, I was able to fully recover my funds. Unfortunately, many individuals fall victim to scams in the cryptocurrency space, especially those involving fraudulent investment platforms. Here is another caution; not all recovery services are legit. I personally lost 3 BTC from my Binance account due to a deceptive platform. If you happen to have suffered a similar loss, consider INTEL FOX RECOVERY SERVICES. Their services not only showcase a highly mannerism of professionalism but also effectiveness of how they handle and assist their clients. Therefore, I highly recommend their services to anyone seeking assistance in recovering their stolen BTC.

  • 06.09.25 18:52 michaeldavenport218

    I was recently scammed out of $53,000 by a fraudulent Bitcoin investment scheme, which added significant stress to my already difficult health issues, as I was also facing cancer surgery expenses. Desperate to recover my funds, I spent hours researching and consulting other victims, which led me to discover the excellent reputation of Capital Crypto Recover, I came across a Google post It was only after spending many hours researching and asking other victims for advice that I discovered Capital Crypto Recovery’s stellar reputation. I decided to contact them because of their successful recovery record and encouraging client testimonials. I had no idea that this would be the pivotal moment in my fight against cryptocurrency theft. Thanks to their expert team, I was able to recover my lost cryptocurrency back. The process was intricate, but Capital Crypto Recovery's commitment to utilizing the latest technology ensured a successful outcome. I highly recommend their services to anyone who has fallen victim to cryptocurrency fraud. For assistance contact [email protected] and on Telegram OR Call Number +1 (336)390-6684 via email: [email protected] you can visit his website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 06.09.25 18:52 michaeldavenport218

    I was recently scammed out of $53,000 by a fraudulent Bitcoin investment scheme, which added significant stress to my already difficult health issues, as I was also facing cancer surgery expenses. Desperate to recover my funds, I spent hours researching and consulting other victims, which led me to discover the excellent reputation of Capital Crypto Recover, I came across a Google post It was only after spending many hours researching and asking other victims for advice that I discovered Capital Crypto Recovery’s stellar reputation. I decided to contact them because of their successful recovery record and encouraging client testimonials. I had no idea that this would be the pivotal moment in my fight against cryptocurrency theft. Thanks to their expert team, I was able to recover my lost cryptocurrency back. The process was intricate, but Capital Crypto Recovery's commitment to utilizing the latest technology ensured a successful outcome. I highly recommend their services to anyone who has fallen victim to cryptocurrency fraud. For assistance contact [email protected] and on Telegram OR Call Number +1 (336)390-6684 via email: [email protected] you can visit his website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 08.09.25 14:26 bajo171

    Recovery experts and lawyers work together to get your stolen money back. They find lost assets. Lawyers guide you through legal steps. Watch out for scam signs. Be careful of offers promising big profits with no risk. Don't let anyone rush your investment decisions. Marie can help you get back lost Bitcoin. She also helps stop future scams. Contact her on WhatsApp at +1 7127594675. You can also email her at [email protected] or reach her on Telegram at @Marie_consultancy.

  • 08.09.25 18:04 marcushenderson624

    Bitcoin Recovery Testimonial After falling victim to a cryptocurrency scam group, I lost $354,000 worth of USDT. I thought all hope was lost from the experience of losing my hard-earned money to scammers. I was devastated and believed there was no way to recover my funds. Fortunately, I started searching for help to recover my stolen funds and I came across a lot of testimonials online about Capital Crypto Recovery, an agent who helps in recovery of lost bitcoin funds, I contacted Capital Crypto Recover Service, and with their expertise, they successfully traced and recovered my stolen assets. Their team was professional, kept me updated throughout the process, and demonstrated a deep understanding of blockchain transactions and recovery protocols. They are trusted and very reliable with a 100% successful rate record Recovery bitcoin, I’m grateful for their help and highly recommend their services to anyone seeking assistance with lost crypto. Contact: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Email: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 08.09.25 18:04 marcushenderson624

    Bitcoin Recovery Testimonial After falling victim to a cryptocurrency scam group, I lost $354,000 worth of USDT. I thought all hope was lost from the experience of losing my hard-earned money to scammers. I was devastated and believed there was no way to recover my funds. Fortunately, I started searching for help to recover my stolen funds and I came across a lot of testimonials online about Capital Crypto Recovery, an agent who helps in recovery of lost bitcoin funds, I contacted Capital Crypto Recover Service, and with their expertise, they successfully traced and recovered my stolen assets. Their team was professional, kept me updated throughout the process, and demonstrated a deep understanding of blockchain transactions and recovery protocols. They are trusted and very reliable with a 100% successful rate record Recovery bitcoin, I’m grateful for their help and highly recommend their services to anyone seeking assistance with lost crypto. Contact: [email protected] Phone CALL/Text Number: +1 (336) 390-6684 Email: [email protected] Website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 08.09.25 19:21 DAVEortega1010

    Be wary of fraudulent cryptocurrency recovery services. Many promise to recover your lost digital currency. These services often provide excuses or fail to deliver any results. This only adds to your distress. After several unsuccessful attempts with others, I discovered a genuine expert. This individual was highly capable and provided excellent assistance. They successfully recovered my stolen cryptocurrency. I was finally able to find peace of mind. If you have lost crypto, you should contact them. talk to [email protected] for help. You can also send a text message via WhatsApp to +447366445035, Stop losing time on scams. They can help you get your money back.

  • 02:34 wendytaylor015

    My name is Wendy Taylor, I'm from Los Angeles, i want to announce to you Viewer how Capital Crypto Recover help me to restore my Lost Bitcoin, I invested with a Crypto broker without proper research to know what I was hoarding my hard-earned money into scammers, i lost access to my crypto wallet or had your funds stolen? Don’t worry Capital Crypto Recover is here to help you recover your cryptocurrency with cutting-edge technical expertise, With years of experience in the crypto world, Capital Crypto Recover employs the best latest tools and ethical hacking techniques to help you recover lost assets, unlock hacked accounts, Whether it’s a forgotten password, Capital Crypto Recover has the expertise to help you get your crypto back. a security company service that has a 100% success rate in the recovery of crypto assets, i lost wallet and hacked accounts. I provided them the information they requested and they began their investigation. To my surprise, Capital Crypto Recover was able to trace and recover my crypto assets successfully within 24hours. Thank you for your service in helping me recover my $647,734 worth of crypto funds and I highly recommend their recovery services, they are reliable and a trusted company to any individuals looking to recover lost money. Contact email [email protected] OR Telegram @Capitalcryptorecover Call/Text Number +1 (336)390-6684 his contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 02:34 wendytaylor015

    My name is Wendy Taylor, I'm from Los Angeles, i want to announce to you Viewer how Capital Crypto Recover help me to restore my Lost Bitcoin, I invested with a Crypto broker without proper research to know what I was hoarding my hard-earned money into scammers, i lost access to my crypto wallet or had your funds stolen? Don’t worry Capital Crypto Recover is here to help you recover your cryptocurrency with cutting-edge technical expertise, With years of experience in the crypto world, Capital Crypto Recover employs the best latest tools and ethical hacking techniques to help you recover lost assets, unlock hacked accounts, Whether it’s a forgotten password, Capital Crypto Recover has the expertise to help you get your crypto back. a security company service that has a 100% success rate in the recovery of crypto assets, i lost wallet and hacked accounts. I provided them the information they requested and they began their investigation. To my surprise, Capital Crypto Recover was able to trace and recover my crypto assets successfully within 24hours. Thank you for your service in helping me recover my $647,734 worth of crypto funds and I highly recommend their recovery services, they are reliable and a trusted company to any individuals looking to recover lost money. Contact email [email protected] OR Telegram @Capitalcryptorecover Call/Text Number +1 (336)390-6684 his contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1

  • 02:34 wendytaylor015

    My name is Wendy Taylor, I'm from Los Angeles, i want to announce to you Viewer how Capital Crypto Recover help me to restore my Lost Bitcoin, I invested with a Crypto broker without proper research to know what I was hoarding my hard-earned money into scammers, i lost access to my crypto wallet or had your funds stolen? Don’t worry Capital Crypto Recover is here to help you recover your cryptocurrency with cutting-edge technical expertise, With years of experience in the crypto world, Capital Crypto Recover employs the best latest tools and ethical hacking techniques to help you recover lost assets, unlock hacked accounts, Whether it’s a forgotten password, Capital Crypto Recover has the expertise to help you get your crypto back. a security company service that has a 100% success rate in the recovery of crypto assets, i lost wallet and hacked accounts. I provided them the information they requested and they began their investigation. To my surprise, Capital Crypto Recover was able to trace and recover my crypto assets successfully within 24hours. Thank you for your service in helping me recover my $647,734 worth of crypto funds and I highly recommend their recovery services, they are reliable and a trusted company to any individuals looking to recover lost money. Contact email [email protected] OR Telegram @Capitalcryptorecover Call/Text Number +1 (336)390-6684 his contact: [email protected] His website: https://recovercapital.wixsite.com/capital-crypto-rec-1

Для участия в Чате вам необходим бесплатный аккаунт pro-blockchain.com Войти Регистрация

Похожие новости

Есть вопросы?
С вами на связи 24/7
Поддержка 24/7 Help Icon
Менеджер онлайн Help Icon
Help Icon